Chen, Wenhui; Reissig, Michael On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order. (English) Zbl 07643821 J. Evol. Equ. 23, No. 1, Paper No. 13, 21 p. (2023). MSC: 35L71 35L15 35B33 35B44 PDF BibTeX XML Cite \textit{W. Chen} and \textit{M. Reissig}, J. Evol. Equ. 23, No. 1, Paper No. 13, 21 p. (2023; Zbl 07643821) Full Text: DOI arXiv OpenURL
Mezadek, Mohamed Kainane; Mezadek, Mourad Kainane; Reissig, Michael Semilinear \(\sigma\)-evolution models with friction and visco-elastic type damping. (English) Zbl 1497.35320 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 6, Paper No. 66, 42 p. (2022). MSC: 35L71 35L15 35B33 35B44 35R11 PDF BibTeX XML Cite \textit{M. K. Mezadek} et al., NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 6, Paper No. 66, 42 p. (2022; Zbl 1497.35320) Full Text: DOI OpenURL
Aslan, Halit Sevki; Reissig, Michael Semilinear effectively damped wave models with general relaxation function. (English) Zbl 1491.35285 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112959, 35 p. (2022). MSC: 35L15 35L71 35R09 35A01 PDF BibTeX XML Cite \textit{H. S. Aslan} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112959, 35 p. (2022; Zbl 1491.35285) Full Text: DOI OpenURL
Aslan, Halit Sevki; Reissig, Michael \(L^p-L^q\) estimates for wave equations with strong time-dependent oscillations. (English) Zbl 1487.35132 Hokkaido Math. J. 51, No. 1, 57-106 (2022). MSC: 35B45 35B05 35L05 35L15 PDF BibTeX XML Cite \textit{H. S. Aslan} and \textit{M. Reissig}, Hokkaido Math. J. 51, No. 1, 57--106 (2022; Zbl 1487.35132) Full Text: DOI OpenURL
Kaddour, Tayeb Hadj; Reissig, Michael Blow-up results for effectively damped wave models with nonlinear memory. (English) Zbl 1500.35060 Commun. Pure Appl. Anal. 20, No. 7-8, 2687-2707 (2021). MSC: 35B44 35B33 35B40 35G25 35C20 PDF BibTeX XML Cite \textit{T. H. Kaddour} and \textit{M. Reissig}, Commun. Pure Appl. Anal. 20, No. 7--8, 2687--2707 (2021; Zbl 1500.35060) Full Text: DOI OpenURL
Dao, Tuan Anh; Reissig, Michael The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations. (English) Zbl 1471.35194 J. Differ. Equations 299, 1-32 (2021). MSC: 35L52 35L71 35B44 26A15 PDF BibTeX XML Cite \textit{T. A. Dao} and \textit{M. Reissig}, J. Differ. Equations 299, 1--32 (2021; Zbl 1471.35194) Full Text: DOI arXiv OpenURL
Kaddour, Tayeb Hadj; Reissig, Michael Global well-posedness for effectively damped wave models with nonlinear memory. (English) Zbl 1466.35264 Commun. Pure Appl. Anal. 20, No. 5, 2039-2064 (2021). MSC: 35L71 35L15 35R09 35B40 35B33 PDF BibTeX XML Cite \textit{T. H. Kaddour} and \textit{M. Reissig}, Commun. Pure Appl. Anal. 20, No. 5, 2039--2064 (2021; Zbl 1466.35264) Full Text: DOI OpenURL
Dao, Tuan Anh; Reissig, Michael Blow-up results for semi-linear structurally damped \(\sigma\)-evolution equations. (English) Zbl 1461.35070 Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 213-245 (2021). MSC: 35B44 35R11 35L15 35L71 PDF BibTeX XML Cite \textit{T. A. Dao} and \textit{M. Reissig}, Springer INdAM Ser. 43, 213--245 (2021; Zbl 1461.35070) Full Text: DOI arXiv OpenURL
Pham, Trieu Duong; Reissig, Michael Semilinear mixed problems in exterior domains for \(\sigma \)-evolution equations with friction and coefficients depending on spatial variables. (English) Zbl 1458.35273 J. Math. Anal. Appl. 494, No. 1, Article ID 124587, 37 p. (2021). MSC: 35L71 35L15 35R11 PDF BibTeX XML Cite \textit{T. D. Pham} and \textit{M. Reissig}, J. Math. Anal. Appl. 494, No. 1, Article ID 124587, 37 p. (2021; Zbl 1458.35273) Full Text: DOI OpenURL
Chen, Wenhui; Reissig, Michael Blow-up of solutions to Nakao’s problem via an iteration argument. (English) Zbl 1455.35148 J. Differ. Equations 275, 733-756 (2021). MSC: 35L71 35L52 35B44 PDF BibTeX XML Cite \textit{W. Chen} and \textit{M. Reissig}, J. Differ. Equations 275, 733--756 (2021; Zbl 1455.35148) Full Text: DOI arXiv OpenURL
Aslan, Halit Sevki; Reissig, Michael Influence of strong time-dependent oscillations in semilinear damped wave models. (English) Zbl 1455.35014 J. Hyperbolic Differ. Equ. 17, No. 2, 395-442 (2020). MSC: 35B40 35L15 35L71 PDF BibTeX XML Cite \textit{H. S. Aslan} and \textit{M. Reissig}, J. Hyperbolic Differ. Equ. 17, No. 2, 395--442 (2020; Zbl 1455.35014) Full Text: DOI OpenURL
Ebert, M. R.; Girardi, G.; Reissig, M. Critical regularity of nonlinearities in semilinear classical damped wave equations. (English) Zbl 1450.35158 Math. Ann. 378, No. 3-4, 1311-1326 (2020). MSC: 35L15 35L71 35B44 PDF BibTeX XML Cite \textit{M. R. Ebert} et al., Math. Ann. 378, No. 3--4, 1311--1326 (2020; Zbl 1450.35158) Full Text: DOI arXiv OpenURL
Mezadek, Mourad Kainane; Mezadek, Mohamed Kainane; Reissig, Michael Semilinear wave models with friction and viscoelastic damping. (English) Zbl 1447.35211 Math. Methods Appl. Sci. 43, No. 6, 3117-3147 (2020). MSC: 35L15 35L71 PDF BibTeX XML Cite \textit{M. K. Mezadek} et al., Math. Methods Appl. Sci. 43, No. 6, 3117--3147 (2020; Zbl 1447.35211) Full Text: DOI OpenURL
Ascanelli, Alessia; Cicognani, Massimo; Reissig, Michael The interplay between decay of the data and regularity of the solution in Schrödinger equations. (English) Zbl 1442.35361 Ann. Mat. Pura Appl. (4) 199, No. 4, 1649-1671 (2020). MSC: 35Q41 35B65 35R25 35A01 35A02 35S05 PDF BibTeX XML Cite \textit{A. Ascanelli} et al., Ann. Mat. Pura Appl. (4) 199, No. 4, 1649--1671 (2020; Zbl 1442.35361) Full Text: DOI OpenURL
Reich, Maximilian; Reissig, Michael Wave equations in modulation spaces – decay versus loss of regularity. (English) Zbl 1428.35195 D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 371-390 (2019). MSC: 35L15 35L05 PDF BibTeX XML Cite \textit{M. Reich} and \textit{M. Reissig}, in: New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 371--390 (2019; Zbl 1428.35195) Full Text: DOI OpenURL
Djaouti, Abdelhamid Mohammed; Reissig, Michael Weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms and different power nonlinearities. (English) Zbl 1428.35207 D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 97-128 (2019). MSC: 35L52 35L71 PDF BibTeX XML Cite \textit{A. M. Djaouti} and \textit{M. Reissig}, in: New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 97--128 (2019; Zbl 1428.35207) Full Text: DOI OpenURL
Dao, Tuan Anh; Reissig, Michael \( L^1 \) estimates for oscillating integrals and their applications to semi-linear models with \( \sigma \)-evolution like structural damping. (English) Zbl 1418.35274 Discrete Contin. Dyn. Syst. 39, No. 9, 5431-5463 (2019). MSC: 35L76 35B40 35R11 35B45 PDF BibTeX XML Cite \textit{T. A. Dao} and \textit{M. Reissig}, Discrete Contin. Dyn. Syst. 39, No. 9, 5431--5463 (2019; Zbl 1418.35274) Full Text: DOI arXiv OpenURL
Lorenz, Daniel; Reissig, Michael A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space. (English) Zbl 1477.35324 J. Pseudo-Differ. Oper. Appl. 10, No. 1, 199-240 (2019). MSC: 35S05 35L30 47G30 PDF BibTeX XML Cite \textit{D. Lorenz} and \textit{M. Reissig}, J. Pseudo-Differ. Oper. Appl. 10, No. 1, 199--240 (2019; Zbl 1477.35324) Full Text: DOI arXiv OpenURL
Dao, Tuan Anh; Reissig, Michael An application of \(L^{1}\) estimates for oscillating integrals to parabolic like semi-linear structurally damped \(\sigma\)-evolution models. (English) Zbl 07053219 J. Math. Anal. Appl. 476, No. 2, 426-463 (2019). MSC: 35-XX 49-XX PDF BibTeX XML Cite \textit{T. A. Dao} and \textit{M. Reissig}, J. Math. Anal. Appl. 476, No. 2, 426--463 (2019; Zbl 07053219) Full Text: DOI arXiv OpenURL
Chen, Wenhui; Reissig, Michael Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D. (English) Zbl 1414.35126 Math. Methods Appl. Sci. 42, No. 2, 667-709 (2019). MSC: 35L71 35L52 PDF BibTeX XML Cite \textit{W. Chen} and \textit{M. Reissig}, Math. Methods Appl. Sci. 42, No. 2, 667--709 (2019; Zbl 1414.35126) Full Text: DOI arXiv OpenURL
D’Abbicco, M.; Girardi, G.; Reissig, M. A scale of critical exponents for semilinear waves with time-dependent damping and mass terms. (English) Zbl 1415.35039 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 15-40 (2019). MSC: 35B40 35L15 35L71 35B33 PDF BibTeX XML Cite \textit{M. D'Abbicco} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 15--40 (2019; Zbl 1415.35039) Full Text: DOI Link OpenURL
Palmieri, Alessandro; Reissig, Michael A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass. (English) Zbl 1404.35065 J. Differ. Equations 266, No. 2-3, 1176-1220 (2019). MSC: 35B44 35L05 33C15 35L15 35L71 PDF BibTeX XML Cite \textit{A. Palmieri} and \textit{M. Reissig}, J. Differ. Equations 266, No. 2--3, 1176--1220 (2019; Zbl 1404.35065) Full Text: DOI arXiv OpenURL
Mezadek, Abdelatif Kainane; Reissig, Michael Semi-linear fractional \(\sigma\)-evolution equations with mass or power non-linearity. (English) Zbl 1407.35215 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 5, Paper No. 42, 43 p. (2018). MSC: 35R11 35A01 PDF BibTeX XML Cite \textit{A. K. Mezadek} and \textit{M. Reissig}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 5, Paper No. 42, 43 p. (2018; Zbl 1407.35215) Full Text: DOI OpenURL
Palmieri, Alessandro; Reissig, Michael Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. II. (English) Zbl 1397.35156 Math. Nachr. 291, No. 11-12, 1859-1892 (2018). MSC: 35L71 35L05 42B37 26A33 35L15 46E35 47H30 PDF BibTeX XML Cite \textit{A. Palmieri} and \textit{M. Reissig}, Math. Nachr. 291, No. 11--12, 1859--1892 (2018; Zbl 1397.35156) Full Text: DOI OpenURL
Mohammed Djaouti, Abdelhamid; Reissig, Michael Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data. (English) Zbl 1397.35149 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 28-55 (2018). MSC: 35L52 35L71 PDF BibTeX XML Cite \textit{A. Mohammed Djaouti} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 28--55 (2018; Zbl 1397.35149) Full Text: DOI OpenURL
Ebert, M. R.; Reissig, M. Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. (English) Zbl 1387.35080 Nonlinear Anal., Real World Appl. 40, 14-54 (2018). MSC: 35B65 35L71 35L15 PDF BibTeX XML Cite \textit{M. R. Ebert} and \textit{M. Reissig}, Nonlinear Anal., Real World Appl. 40, 14--54 (2018; Zbl 1387.35080) Full Text: DOI arXiv OpenURL
Ebert, Marcelo R.; Reissig, Michael Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. (English) Zbl 06811166 Cham: Birkhäuser (ISBN 978-3-319-66455-2/hbk; 978-3-319-66456-9/ebook). xix, 479 p. (2018). Reviewer: Takashi Suzuki (Osaka) MSC: 35-02 35Qxx 35Jxx 35Kxx 35Lxx PDF BibTeX XML Cite \textit{M. R. Ebert} and \textit{M. Reissig}, Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Cham: Birkhäuser (2018; Zbl 06811166) Full Text: DOI OpenURL
Duong, Pham Trieu; Reissig, Michael The external damping Cauchy problems with general powers of the Laplacian. (English) Zbl 1383.35056 Dang, Pei (ed.) et al., New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-48810-3/pbk; 978-3-319-48812-7/ebook). Trends in Mathematics. Research Perspectives, 537-543 (2017). MSC: 35G25 35B40 35B44 35B33 35R11 PDF BibTeX XML Cite \textit{P. T. Duong} and \textit{M. Reissig}, in: New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3--8, 2015. Basel: Birkhäuser/Springer. 537--543 (2017; Zbl 1383.35056) Full Text: DOI OpenURL
do Nascimento, Wanderley Nunes; Palmieri, Alessandro; Reissig, Michael Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. (English) Zbl 1382.35166 Math. Nachr. 290, No. 11-12, 1779-1805 (2017). MSC: 35L71 35L15 35B44 35B33 PDF BibTeX XML Cite \textit{W. N. do Nascimento} et al., Math. Nachr. 290, No. 11--12, 1779--1805 (2017; Zbl 1382.35166) Full Text: DOI OpenURL
Ruziev, Menglibay; Reissig, Michael Tricomi type equations with terms of lower order. (English) Zbl 1442.45002 Int. J. Dyn. Syst. Differ. Equ. 6, No. 1, 1-15 (2016). MSC: 45G05 45B05 34A12 PDF BibTeX XML Cite \textit{M. Ruziev} and \textit{M. Reissig}, Int. J. Dyn. Syst. Differ. Equ. 6, No. 1, 1--15 (2016; Zbl 1442.45002) Full Text: DOI OpenURL
Reissig, Michael Structurally damped elastic waves in 2D. (English) Zbl 1357.35208 Math. Methods Appl. Sci. 39, No. 15, 4618-4628 (2016). Reviewer: Luigi Rodino (Torino) MSC: 35L15 35L52 35B45 35B65 35B40 35A21 35R11 PDF BibTeX XML Cite \textit{M. Reissig}, Math. Methods Appl. Sci. 39, No. 15, 4618--4628 (2016; Zbl 1357.35208) Full Text: DOI OpenURL
Reich, Maximilian; Reissig, Michael; Sickel, Winfried Non-analytic superposition results on modulation spaces with subexponential weights. (English) Zbl 1360.47012 J. Pseudo-Differ. Oper. Appl. 7, No. 3, 365-409 (2016). MSC: 47H30 42B35 46E35 47N20 35G30 PDF BibTeX XML Cite \textit{M. Reich} et al., J. Pseudo-Differ. Oper. Appl. 7, No. 3, 365--409 (2016; Zbl 1360.47012) Full Text: DOI arXiv OpenURL
Ebert, Marcelo Rempel; Reissig, Michael Theory of damped wave models with integrable and decaying in time speed of propagation. (English) Zbl 1398.35135 J. Hyperbolic Differ. Equ. 13, No. 2, 417-439 (2016). MSC: 35L15 35B40 35B65 PDF BibTeX XML Cite \textit{M. R. Ebert} and \textit{M. Reissig}, J. Hyperbolic Differ. Equ. 13, No. 2, 417--439 (2016; Zbl 1398.35135) Full Text: DOI OpenURL
Mezadek, Mohamed Kainane; Reissig, Michael Qualitative properties of solution to structurally damped \(\sigma\)-evolution models with time decreasing coefficient in the dissipation. (English) Zbl 1348.35129 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 1: PDE, differential geometry, radon transform. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1653-9/pbk; 978-1-4704-2817-4/ebook). Contemporary Mathematics 653. Israel Mathematical Conference Proceedings, 191-217 (2015). MSC: 35L15 35G10 35R11 PDF BibTeX XML Cite \textit{M. K. Mezadek} and \textit{M. Reissig}, Contemp. Math. 653, 191--217 (2015; Zbl 1348.35129) Full Text: DOI OpenURL
Cicognani, Massimo; Reissig, Michael Some remarks on Gevrey well-posedness for degenerate Schrödinger equations. (English) Zbl 1354.35021 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 1: PDE, differential geometry, radon transform. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1653-9/pbk; 978-1-4704-2817-4/ebook). Contemporary Mathematics 653. Israel Mathematical Conference Proceedings, 81-91 (2015). Reviewer: Christian Seifert (Hamburg) MSC: 35J10 35Q41 PDF BibTeX XML Cite \textit{M. Cicognani} and \textit{M. Reissig}, Contemp. Math. 653, 81--91 (2015; Zbl 1354.35021) Full Text: DOI OpenURL
Tang Bao Ngoc Bui; Reissig, Michael Global existence of small data solutions for wave models with sub-exponential propagation speed. (English) Zbl 1331.35236 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 173-188 (2015). MSC: 35L71 35L15 35B40 PDF BibTeX XML Cite \textit{Tang Bao Ngoc Bui} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 173--188 (2015; Zbl 1331.35236) Full Text: DOI OpenURL
D’Abbicco, Marcello; Lucente, Sandra; Reissig, Michael A shift in the strauss exponent for semilinear wave equations with a not effective damping. (English) Zbl 1329.35205 J. Differ. Equations 259, No. 10, 5040-5073 (2015). MSC: 35L71 35L15 35B33 PDF BibTeX XML Cite \textit{M. D'Abbicco} et al., J. Differ. Equations 259, No. 10, 5040--5073 (2015; Zbl 1329.35205) Full Text: DOI arXiv OpenURL
Pham, Duong Trieu; Kainane Mezadek, Mohamed; Reissig, Michael Global existence for semi-linear structurally damped \(\sigma\)-evolution models. (English) Zbl 1327.35411 J. Math. Anal. Appl. 431, No. 1, 569-596 (2015). MSC: 35R11 26A33 35A01 35B33 PDF BibTeX XML Cite \textit{D. T. Pham} et al., J. Math. Anal. Appl. 431, No. 1, 569--596 (2015; Zbl 1327.35411) Full Text: DOI OpenURL
Bui, Tang Bao Ngoc; Reissig, Michael Global existence of small data solutions for wave models with super-exponential propagation speed. (English) Zbl 1320.35215 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 82-100 (2015). MSC: 35L71 35L15 35B40 PDF BibTeX XML Cite \textit{T. B. N. Bui} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 82--100 (2015; Zbl 1320.35215) Full Text: DOI OpenURL
Mezadek, Mohamed Kainane; Reissig, Michael Qualitative properties of solutions to structurally damped \(\sigma\)-evolution models with time increasing coefficient in the dissipation. (English) Zbl 1332.35382 Adv. Differ. Equ. 20, No. 5-6, 433-462 (2015). MSC: 35R11 35Q74 35G10 PDF BibTeX XML Cite \textit{M. K. Mezadek} and \textit{M. Reissig}, Adv. Differ. Equ. 20, No. 5--6, 433--462 (2015; Zbl 1332.35382) Full Text: Euclid OpenURL
Ebert, M. R.; Kapp, R. A.; Nascimento, W. N.; Reissig, M. Klein-Gordon type wave models with non-effective time-dependent potential. (English) Zbl 1353.35059 Rogosin, S. V. (ed.) et al., Analytic methods of analysis and differential equations: AMADE 2012. Selected papers of the 7th international workshop, Minsk, Belarus, September 10–15, 2012. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-29-2/pbk). 143-161 (2014). MSC: 35B40 35L05 PDF BibTeX XML Cite \textit{M. R. Ebert} et al., in: Analytic methods of analysis and differential equations: AMADE 2012. Selected papers of the 7th international workshop, Minsk, Belarus, September 10--15, 2012. Cambridge: Cambridge Scientific Publishers. 143--161 (2014; Zbl 1353.35059) OpenURL
Cicognani, Massimo; Reissig, Michael Necessity of Gevrey-type Levi conditions for degenerate Schrödinger equations. (English) Zbl 1326.35302 J. Abstr. Differ. Equ. Appl. 5, No. 1, 52-70 (2014). MSC: 35Q41 PDF BibTeX XML Cite \textit{M. Cicognani} and \textit{M. Reissig}, J. Abstr. Differ. Equ. Appl. 5, No. 1, 52--70 (2014; Zbl 1326.35302) Full Text: Link OpenURL
Bui, Tang Bao Ngoc; Reissig, Michael The interplay between time-dependent speed of propagation and dissipation in wave models. (English) Zbl 1332.35038 Ruzhansky, Michael (ed.) et al., Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25–29, 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-02549-0/hbk; 978-3-319-02550-6/ebook). Trends in Mathematics, 9-45 (2014). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 35B40 35L15 35L05 35B45 34E20 PDF BibTeX XML Cite \textit{T. B. N. Bui} and \textit{M. Reissig}, in: Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012. Cham: Birkhäuser/Springer. 9--45 (2014; Zbl 1332.35038) Full Text: DOI OpenURL
D’Abbicco, M.; Reissig, M. Semilinear structural damped waves. (English) Zbl 1295.35324 Math. Methods Appl. Sci. 37, No. 11, 1570-1592 (2014). MSC: 35L71 35L15 35B33 35B44 PDF BibTeX XML Cite \textit{M. D'Abbicco} and \textit{M. Reissig}, Math. Methods Appl. Sci. 37, No. 11, 1570--1592 (2014; Zbl 1295.35324) Full Text: DOI arXiv OpenURL
Liu, Yan; Reissig, Michael Models of thermodiffusion in 1D. (English) Zbl 1292.35084 Math. Methods Appl. Sci. 37, No. 6, 817-837 (2014). MSC: 35C20 35G40 35M31 35Q99 74F99 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{M. Reissig}, Math. Methods Appl. Sci. 37, No. 6, 817--837 (2014; Zbl 1292.35084) Full Text: DOI OpenURL
Cicognani, Massimo; Reissig, Michael Well-posedness for degenerate Schrödinger equations. (English) Zbl 1286.35086 Evol. Equ. Control Theory 3, No. 1, 15-33 (2014). MSC: 35J10 35Q41 PDF BibTeX XML Cite \textit{M. Cicognani} and \textit{M. Reissig}, Evol. Equ. Control Theory 3, No. 1, 15--33 (2014; Zbl 1286.35086) Full Text: DOI OpenURL
Matthes, S.; Reissig, M. Qualitative properties of structurally damped wave models. (English) Zbl 1332.35197 Eurasian Math. J. 4, No. 3, 84-106 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 35L15 35B40 34E20 PDF BibTeX XML Cite \textit{S. Matthes} and \textit{M. Reissig}, Eurasian Math. J. 4, No. 3, 84--106 (2013; Zbl 1332.35197) Full Text: MNR OpenURL
Böhme, Christiane; Reissig, Michael Energy bounds for Klein-Gordon equations with time-dependent potential. (English) Zbl 1310.35148 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 59, No. 1, 31-55 (2013). MSC: 35L15 35L05 35B40 PDF BibTeX XML Cite \textit{C. Böhme} and \textit{M. Reissig}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 59, No. 1, 31--55 (2013; Zbl 1310.35148) Full Text: DOI OpenURL
Ilschukov, A. S.; Timofeev, A. Y.; Reissig, Michael Loss of regularity and the Dirichlet problem for holomorphic functions in spaces with modulus of continuity. (English) Zbl 1281.30031 Complex Var. Elliptic Equ. 58, No. 9, 1229-1245 (2013). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 30E25 31A25 PDF BibTeX XML Cite \textit{A. S. Ilschukov} et al., Complex Var. Elliptic Equ. 58, No. 9, 1229--1245 (2013; Zbl 1281.30031) Full Text: DOI OpenURL
Narazaki, Takashi; Reissig, Michael \(L^1\) estimates for oscillating integrals related to structural damped wave models. (English) Zbl 1275.35011 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 215-258 (2013). MSC: 35A23 35B40 35B45 35L15 PDF BibTeX XML Cite \textit{T. Narazaki} and \textit{M. Reissig}, Prog. Nonlinear Differ. Equ. Appl. 84, 215--258 (2013; Zbl 1275.35011) Full Text: DOI OpenURL
Herrmann, Torsten; Reissig, Michael; Yagdjian, Karen \(H^\infty\) well-posedness for degenerate \(p\)-evolution models of higher order with time-dependent coefficients. (English) Zbl 1273.35091 Reissig, Michael (ed.) et al., Progress in partial differential equations. Asymptotic profiles, regularity and well-posedness. Based on the presentations given at a session at the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Cham: Springer (ISBN 978-3-319-00124-1/hbk; 978-3-319-00125-8/ebook). Springer Proceedings in Mathematics & Statistics 44, 125-151 (2013). MSC: 35G10 35J10 35Q41 PDF BibTeX XML Cite \textit{T. Herrmann} et al., Springer Proc. Math. Stat. 44, 125--151 (2013; Zbl 1273.35091) Full Text: DOI OpenURL
D’Abbicco, Marcello; Lucente, Sandra; Reissig, Michael Semi-linear wave equations with effective damping. (English) Zbl 1278.35150 Chin. Ann. Math., Ser. B 34, No. 3, 345-380 (2013). Reviewer: Svetlin Georgiev (Rousse) MSC: 35L53 35L71 35B33 35B44 PDF BibTeX XML Cite \textit{M. D'Abbicco} et al., Chin. Ann. Math., Ser. B 34, No. 3, 345--380 (2013; Zbl 1278.35150) Full Text: DOI arXiv OpenURL
Böhme, Christiane; Reissig, Michael A scale-invariant Klein-Gordon model with time-dependent potential. (English) Zbl 1326.35184 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 58, No. 2, 229-250 (2012). MSC: 35L15 35B40 PDF BibTeX XML Cite \textit{C. Böhme} and \textit{M. Reissig}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 58, No. 2, 229--250 (2012; Zbl 1326.35184) Full Text: DOI OpenURL
Reuther, Christiane; Reissig, Michael \({L^p - L^q}\) decay estimates for Klein-Gordon models with effective mass. (English) Zbl 1277.35083 Int. J. Dyn. Syst. Differ. Equ. 4, No. 4, 323-362 (2012). MSC: 35B45 35L15 PDF BibTeX XML Cite \textit{C. Reuther} and \textit{M. Reissig}, Int. J. Dyn. Syst. Differ. Equ. 4, No. 4, 323--362 (2012; Zbl 1277.35083) Full Text: DOI OpenURL
D’Abbicco, M.; Reissig, M. Blow-up of the energy at infinity for 2 by 2 systems. (English) Zbl 1233.35034 J. Differ. Equations 252, No. 1, 477-504 (2012). MSC: 35B40 35L45 35B35 PDF BibTeX XML Cite \textit{M. D'Abbicco} and \textit{M. Reissig}, J. Differ. Equations 252, No. 1, 477--504 (2012; Zbl 1233.35034) Full Text: DOI OpenURL
Cicognani, Massimo; Reissig, Michael On Schrödinger type evolution equations with non-Lipschitz coefficients. (English) Zbl 1242.35099 Ann. Mat. Pura Appl. (4) 190, No. 4, 645-665 (2011). MSC: 35G10 35B05 35B40 46E35 PDF BibTeX XML Cite \textit{M. Cicognani} and \textit{M. Reissig}, Ann. Mat. Pura Appl. (4) 190, No. 4, 645--665 (2011; Zbl 1242.35099) Full Text: DOI OpenURL
Reissig, Michael Rates of decay for structural damped models with coefficients strictly increasing in time. (English) Zbl 1246.35038 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems IV. Part 2. General relativity, geometry, and PDE. Proceedings of the 4th conference on complex analysis and dynamical systems, Nahariya, Israel, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-5197-5/pbk). Contemporary Mathematics 554. Israel Mathematical Conference Proceedings, 187-206 (2011). Reviewer: Elena Gavrilova (Sofia) MSC: 35B40 PDF BibTeX XML Cite \textit{M. Reissig}, Contemp. Math. 554, 187--206 (2011; Zbl 1246.35038) OpenURL
Ebert, M. R.; Reissig, Michael The influence of oscillations on global existence for a class of semi-linear wave equations. (English) Zbl 1225.35148 Math. Methods Appl. Sci. 34, No. 11, 1289-1307 (2011). Reviewer: Marie Kopáčková (Praha) MSC: 35L71 35L15 35A01 PDF BibTeX XML Cite \textit{M. R. Ebert} and \textit{M. Reissig}, Math. Methods Appl. Sci. 34, No. 11, 1289--1307 (2011; Zbl 1225.35148) Full Text: DOI OpenURL
D’Abbicco, M.; Reissig, M. Long time asymptotics for 2 by 2 hyperbolic systems. (English) Zbl 1213.35293 J. Differ. Equations 250, No. 2, 752-781 (2011). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L45 35B35 35B40 PDF BibTeX XML Cite \textit{M. D'Abbicco} and \textit{M. Reissig}, J. Differ. Equations 250, No. 2, 752--781 (2011; Zbl 1213.35293) Full Text: DOI OpenURL
Herrmann, T.; Reissig, M. \(p\)-evolution operators with characteristics of variable multiplicity. (English) Zbl 1264.35138 Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 339-345 (2010). MSC: 35L15 35L05 35A01 35A02 PDF BibTeX XML Cite \textit{T. Herrmann} and \textit{M. Reissig}, in: Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13--18, 2009. Hackensack, NJ: World Scientific. 339--345 (2010; Zbl 1264.35138) Full Text: DOI OpenURL
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael High-order energy decay for structural damped systems in the electromagnetical field. (English) Zbl 1209.35020 Chin. Ann. Math., Ser. B 31, No. 2, 237-246 (2010). MSC: 35B40 74D99 81V10 PDF BibTeX XML Cite \textit{D. Fang} et al., Chin. Ann. Math., Ser. B 31, No. 2, 237--246 (2010; Zbl 1209.35020) Full Text: DOI OpenURL
Kinoshita, Tamotu; Reissig, Michael The log-effect for \(2\) by \(2\) hyperbolic systems. (English) Zbl 1187.35134 J. Differ. Equations 248, No. 3, 470-500 (2010). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L45 35B65 35B30 PDF BibTeX XML Cite \textit{T. Kinoshita} and \textit{M. Reissig}, J. Differ. Equations 248, No. 3, 470--500 (2010; Zbl 1187.35134) Full Text: DOI OpenURL
Lu, Xiaojun; Reissig, Michael Instability behavior and loss of regularity. (English) Zbl 1197.35178 Bove, Antonio (ed.) et al., Advances in phase space analysis of partial differential equations. In Honor of Ferruccio Colombini’s 60th birthday. Selected papers based on the workshop, Siena, Italy, October 2007. Boston, MA: Birkhäuser (ISBN 978-0-8176-4860-2/hbk; 978-0-8176-4861-9/ebook). Progress in Nonlinear Differential Equations and Their Applications 78, 171-200 (2009). Reviewer: Sönke Hansen (Paderborn) MSC: 35L80 35L15 35B40 35B65 PDF BibTeX XML Cite \textit{X. Lu} and \textit{M. Reissig}, Prog. Nonlinear Differ. Equ. Appl. 78, 171--200 (2009; Zbl 1197.35178) Full Text: DOI OpenURL
Lu, Xiaojun; Reissig, Michael Rates of decay for structural damped models with decreasing in time coefficients. (English) Zbl 1188.35025 Int. J. Dyn. Syst. Differ. Equ. 2, No. 1-2, 21-55 (2009). MSC: 35B40 35L15 35R11 PDF BibTeX XML Cite \textit{X. Lu} and \textit{M. Reissig}, Int. J. Dyn. Syst. Differ. Equ. 2, No. 1--2, 21--55 (2009; Zbl 1188.35025) Full Text: DOI OpenURL
Jachmann, Kay; Reissig, Michael Cauchy problem for linear thermoelastic systems. I: A unified approach. (English) Zbl 1189.80018 Int. J. Dyn. Syst. Differ. Equ. 2, No. 3-4, 170-201 (2009). Reviewer: Viktor Shevchuk (Lviv) MSC: 80A20 35B99 74A05 74H99 PDF BibTeX XML Cite \textit{K. Jachmann} and \textit{M. Reissig}, Int. J. Dyn. Syst. Differ. Equ. 2, No. 3--4, 170--201 (2009; Zbl 1189.80018) Full Text: DOI OpenURL
Jachmann, K.; Reissig, M. A unified treatment of models of thermoelasticity, decay and diffusion phenomena. (English) Zbl 1184.35300 Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 454-464 (2009). MSC: 35Q74 74F10 PDF BibTeX XML Cite \textit{K. Jachmann} and \textit{M. Reissig}, in: Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13--18, 2007. Hackensack, NJ: World Scientific. 454--464 (2009; Zbl 1184.35300) OpenURL
Böhme, C.; Reissig, M. Energy estimates for wave models with time-dependent coefficients. (English) Zbl 1184.35082 Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 415-424 (2009). MSC: 35B45 35L15 PDF BibTeX XML Cite \textit{C. Böhme} and \textit{M. Reissig}, in: Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13--18, 2007. Hackensack, NJ: World Scientific. 415--424 (2009; Zbl 1184.35082) OpenURL
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael \(\nu \)-loss of derivatives for an evolution type model. (English) Zbl 1181.35030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5368-5380 (2009). MSC: 35B65 35L80 35L15 35B40 35S10 PDF BibTeX XML Cite \textit{D. Fang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5368--5380 (2009; Zbl 1181.35030) Full Text: DOI OpenURL
Lu, Xiaojun; Reissig, Michael Does the loss of regularity really appear? (English) Zbl 1172.35456 Math. Methods Appl. Sci. 32, No. 10, 1246-1268 (2009). MSC: 35L80 35L15 35B40 35B65 PDF BibTeX XML Cite \textit{X. Lu} and \textit{M. Reissig}, Math. Methods Appl. Sci. 32, No. 10, 1246--1268 (2009; Zbl 1172.35456) Full Text: DOI OpenURL
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael The Log-effect for \(p\)-evolution type models. (English) Zbl 1170.35057 J. Math. Soc. Japan 60, No. 3, 819-863 (2008). Reviewer: K. Kajitani (Ibaraki) MSC: 35L30 35Q40 PDF BibTeX XML Cite \textit{M. Cicognani} et al., J. Math. Soc. Japan 60, No. 3, 819--863 (2008; Zbl 1170.35057) Full Text: DOI OpenURL
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael Loss of regularity for \(p\)-evolution type models. (English) Zbl 1154.35065 J. Math. Anal. Appl. 347, No. 1, 35-58 (2008). MSC: 35L65 35B65 PDF BibTeX XML Cite \textit{M. Cicognani} et al., J. Math. Anal. Appl. 347, No. 1, 35--58 (2008; Zbl 1154.35065) Full Text: DOI OpenURL
Reissig, Michael; Wirth, Jens Anisotropic thermo-elasticity in 2D. I: A unified treatment. (English) Zbl 1166.35006 Asymptotic Anal. 57, No. 1-2, 1-27 (2008). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35B40 35B45 74E10 74F05 PDF BibTeX XML Cite \textit{M. Reissig} and \textit{J. Wirth}, Asymptotic Anal. 57, No. 1--2, 1--27 (2008; Zbl 1166.35006) Full Text: arXiv OpenURL
Del Santo, Daniele; Kinoshita, Tamotu; Reissig, Michael Energy estimates for strictly hyperbolic equations with low regularity in coefficients. (English) Zbl 1212.35281 Differ. Integral Equ. 20, No. 8, 879-900 (2007). MSC: 35L10 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Differ. Integral Equ. 20, No. 8, 879--900 (2007; Zbl 1212.35281) OpenURL
Del Santo, D.; Kinoshita, T.; Reissig, M. Klein-Gordon type equations with a singular time-dependent potential. (English) Zbl 1159.35387 Rend. Ist. Mat. Univ. Trieste 39, 141-175 (2007). Reviewer: Marie Kopáčková (Praha) MSC: 35L15 35B65 81Q05 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Rend. Ist. Mat. Univ. Trieste 39, 141--175 (2007; Zbl 1159.35387) OpenURL
Cicognani, Massimo; Del Santo, Daniele; Reissig, Michael A dyadic decomposition approach to a finitely degenerate hyperbolic problem. (English) Zbl 1134.35080 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 281-289 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L80 35L15 PDF BibTeX XML Cite \textit{M. Cicognani} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 281--289 (2006; Zbl 1134.35080) Full Text: DOI arXiv OpenURL
Matsuyama, Tokio; Reissig, Michael Stabilization and \(L^p-L^q\) decay estimates. (English) Zbl 1195.35075 Asymptotic Anal. 50, No. 3-4, 239-268 (2006). MSC: 35B45 35L15 PDF BibTeX XML Cite \textit{T. Matsuyama} and \textit{M. Reissig}, Asymptotic Anal. 50, No. 3--4, 239--268 (2006; Zbl 1195.35075) OpenURL
Hirosawa, Fumihiko; Reissig, Michael Levi condition for hyperbolic equations with oscillating coefficients. (English) Zbl 1098.35095 J. Differ. Equations 223, No. 2, 329-350 (2006). Reviewer: K. Kajitani (Ibaraki) MSC: 35L15 PDF BibTeX XML Cite \textit{F. Hirosawa} and \textit{M. Reissig}, J. Differ. Equations 223, No. 2, 329--350 (2006; Zbl 1098.35095) Full Text: DOI OpenURL
Kinoshita, Tamotu; Reissig, Michael About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients. (English) Zbl 1103.35080 Adv. Differ. Equ. 10, No. 2, 191-222 (2005). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L80 35L15 35S05 PDF BibTeX XML Cite \textit{T. Kinoshita} and \textit{M. Reissig}, Adv. Differ. Equ. 10, No. 2, 191--222 (2005; Zbl 1103.35080) OpenURL
Reissig, Michael; Smith, James \(L^p\)-\(L^q\) estimate for wave equation with bounded time dependent coefficient. (English) Zbl 1090.35046 Hokkaido Math. J. 34, No. 3, 541-586 (2005). MSC: 35B45 35L15 PDF BibTeX XML Cite \textit{M. Reissig} and \textit{J. Smith}, Hokkaido Math. J. 34, No. 3, 541--586 (2005; Zbl 1090.35046) Full Text: DOI OpenURL
Reissig, Michael; Timofeev, Alexei Dirichlet problems for generalized Cauchy-Riemann system with singular coefficients. (English) Zbl 1084.30054 Complex Variables, Theory Appl. 50, No. 7-11, 653-672 (2005). MSC: 30G20 35J55 PDF BibTeX XML Cite \textit{M. Reissig} and \textit{A. Timofeev}, Complex Variables, Theory Appl. 50, No. 7--11, 653--672 (2005; Zbl 1084.30054) Full Text: DOI OpenURL
Reissig, Michael; Wang, Ya-Guang Cauchy problems for linear thermoelastic systems of type III in one space variable. (English) Zbl 1070.35111 Math. Methods Appl. Sci. 28, No. 11, 1359-1381 (2005). MSC: 35Q72 74F05 35A21 PDF BibTeX XML Cite \textit{M. Reissig} and \textit{Y.-G. Wang}, Math. Methods Appl. Sci. 28, No. 11, 1359--1381 (2005; Zbl 1070.35111) Full Text: DOI OpenURL
Reissig, Michael \(L_p\)-\(L_q\) decay estimates for wave equations with bounded time-dependent coefficients. (English) Zbl 1145.35052 D’Ancona, P. (ed.) et al., Dispersive nonlinear problems in mathematical physics. Rome: Aracne; Caserta: Dipartimento di Matematica della Seconda Università di Napoli (ISBN 88-7999-420-4/hbk). Quaderni di Matematica 15, 221-266 (2004). Reviewer: K. Kajitani (Ibaraki) MSC: 35B45 35L15 35B40 PDF BibTeX XML Cite \textit{M. Reissig}, Quad. Mat. 15, 221--266 (2004; Zbl 1145.35052) OpenURL
Reissig, M.; Hirosawa, Fumihiko About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. (English) Zbl 1170.35471 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 3, No. 3, 589-608 (2004). MSC: 35L15 35L10 35A05 PDF BibTeX XML Cite \textit{M. Reissig} and \textit{F. Hirosawa}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 3, No. 3, 589--608 (2004; Zbl 1170.35471) Full Text: EuDML OpenURL
Reissig, Michael \(L_p\)-\(L_q\) decay estimates for wave equations with time-dependent coefficients. (English) Zbl 1071.35093 J. Nonlinear Math. Phys. 11, No. 4, 534-548 (2004). MSC: 35L70 35B40 35-02 PDF BibTeX XML Cite \textit{M. Reissig}, J. Nonlinear Math. Phys. 11, No. 4, 534--548 (2004; Zbl 1071.35093) Full Text: DOI OpenURL
Hirosawa, Fumihiko; Reissig, Michael Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. (English) Zbl 1047.35079 Ann. Global Anal. Geom. 25, No. 2, 99-119 (2004). MSC: 35L15 35L80 35S05 35B65 PDF BibTeX XML Cite \textit{F. Hirosawa} and \textit{M. Reissig}, Ann. Global Anal. Geom. 25, No. 2, 99--119 (2004; Zbl 1047.35079) Full Text: DOI OpenURL
Bourdaud, Gérard; Reissig, M.; Sickel, Winfried Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. (English) Zbl 1225.47077 Ann. Mat. Pura Appl. (4) 182, No. 4, 409-455 (2003). MSC: 47H30 46E35 35L70 35L15 35A21 PDF BibTeX XML Cite \textit{G. Bourdaud} et al., Ann. Mat. Pura Appl. (4) 182, No. 4, 409--455 (2003; Zbl 1225.47077) Full Text: DOI OpenURL
Reissig, M. Hyperbolic equations with non-Lipschitz coefficients. (English) Zbl 1182.35155 Rend. Semin. Mat., Torino 61, No. 2, 135-182 (2003). MSC: 35L15 35L80 35S05 35S30 PDF BibTeX XML Cite \textit{M. Reissig}, Rend. Semin. Mat., Torino 61, No. 2, 135--182 (2003; Zbl 1182.35155) Full Text: EuDML OpenURL
Wang, Ya-Guang; Reissig, Michael Influence of the hyperbolic part on decay rates in 1-d thermoelasticity. (English) Zbl 1056.35032 Ancona, Vincenzo (ed.) et al., Hyperbolic differential operators and related problems. New York, NY: Marcel Dekker (ISBN 0-8247-0963-2/pbk). Lect. Notes Pure Appl. Math. 233, 89-108 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B45 35B40 PDF BibTeX XML Cite \textit{Y.-G. Wang} and \textit{M. Reissig}, Lect. Notes Pure Appl. Math. 233, 89--108 (2003; Zbl 1056.35032) OpenURL
Reissig, Michael A refined diagonalization procedure to handle fast oscillations in degenerate hyperbolic problems. (English) Zbl 1050.35045 Colombini, Ferruccio (ed.) et al., Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10–14, 2002. Somerville, MA: International Press (ISBN 1-57146-150-7/pbk). Grad. Ser. Anal., 295-317 (2003). Reviewer: Luigi Rodino (Torino) MSC: 35L15 35S05 35L80 PDF BibTeX XML Cite \textit{M. Reissig}, in: Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10--14, 2002. Somerville, MA: International Press. 295--317 (2003; Zbl 1050.35045) OpenURL
Hirosawa, Fumihiko; Reissig, Michael From wave to Klein-Gordon type decay rates. (English) Zbl 1052.35110 Albeverio, Sergio (ed.) et al., Nonlinear hyperbolic equations, spectral theory, and wavelet transformations. A volume of Advances in Partial Differential Equations. Basel: Birkhäuser (ISBN 3-7643-2168-7/hbk). Oper. Theory, Adv. Appl. 145, 95-155 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L15 35L05 35Q40 35B45 PDF BibTeX XML Cite \textit{F. Hirosawa} and \textit{M. Reissig}, in: Nonlinear hyperbolic equations, spectral theory, and wavelet transformations. A volume of Advances in Partial Differential Equations. Basel: Birkhäuser. 95--155 (2003; Zbl 1052.35110) OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Reissig, Michael On the optimal regularity of coefficients in hyperbolic Cauchy problems. (English) Zbl 1037.35038 Bull. Sci. Math. 127, No. 4, 328-347 (2003). Reviewer: K. Kajitani (Ibaraki) MSC: 35L15 35B65 35A05 PDF BibTeX XML Cite \textit{F. Colombini} et al., Bull. Sci. Math. 127, No. 4, 328--347 (2003; Zbl 1037.35038) Full Text: DOI OpenURL
Kubo, Akisato; Reissig, Michael \(C^{\infty}\)-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space. (English) Zbl 1035.35083 Picard, Rainer (ed.) et al., Evolution equations. Propagation phenomena, global existence, influence on non-linearities. Based on the workshop, Warsaw, Poland, July 1–July 7, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 60, 131-150 (2003). Reviewer: K. Kajitani (Ibaraki) MSC: 35L80 35L15 PDF BibTeX XML Cite \textit{A. Kubo} and \textit{M. Reissig}, Banach Cent. Publ. 60, 131--150 (2003; Zbl 1035.35083) OpenURL
Kubo, Akisato; Reissig, Michael Construction of parametrix to strictly hyperbolic Cauchy problems with fast oscillations in non-Lipschitz coefficients. (English) Zbl 1036.35118 Commun. Partial Differ. Equations 28, No. 7-8, 1471-1502 (2003). Reviewer: Otto Liess (Bologna) MSC: 35L15 35L80 35S05 35S30 PDF BibTeX XML Cite \textit{A. Kubo} and \textit{M. Reissig}, Commun. Partial Differ. Equations 28, No. 7--8, 1471--1502 (2003; Zbl 1036.35118) Full Text: DOI OpenURL
Wang, Ya-Guang; Reissig, Michael Parabolic type decay rates for 1-d-thermoelastic systems with time-dependent coefficients. (English) Zbl 1031.35145 Monatsh. Math. 138, No. 3, 239-259 (2003). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35Q72 74F05 74B99 PDF BibTeX XML Cite \textit{Y.-G. Wang} and \textit{M. Reissig}, Monatsh. Math. 138, No. 3, 239--259 (2003; Zbl 1031.35145) Full Text: DOI OpenURL
Dubinskii, Julii; Reissig, Michael Variational problems in Clifford analysis. (English) Zbl 1020.30051 Math. Methods Appl. Sci. 25, No. 14, 1161-1176 (2002). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 35J20 42B35 PDF BibTeX XML Cite \textit{J. Dubinskii} and \textit{M. Reissig}, Math. Methods Appl. Sci. 25, No. 14, 1161--1176 (2002; Zbl 1020.30051) Full Text: DOI OpenURL
Pleshchinskii, Nikolaij Borisovich; Reissig, Michael Hele-Shaw flows with nonlinear kinetic undercooling regularization. (English) Zbl 1205.76090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 2, 191-203 (2002). MSC: 76D27 31A05 35R35 PDF BibTeX XML Cite \textit{N. B. Pleshchinskii} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 2, 191--203 (2002; Zbl 1205.76090) Full Text: DOI OpenURL
Reissig, Michael Klein-Gordon type decay rates for wave equations with a time-dependent dissipation. (English) Zbl 1002.35076 Adv. Math. Sci. Appl. 11, No. 2, 859-891 (2001). Reviewer: Marie Kopáčková (Praha) MSC: 35L15 35B40 35B45 PDF BibTeX XML Cite \textit{M. Reissig}, Adv. Math. Sci. Appl. 11, No. 2, 859--891 (2001; Zbl 1002.35076) OpenURL
Reissig, M.; Yagdjian, K. About the influence of oscillations on Strichartz-type decay estimates. (English) Zbl 1176.35111 Rend. Semin. Mat., Torino 58, No. 3, 375-388 (2000). MSC: 35L15 35B30 PDF BibTeX XML Cite \textit{M. Reissig} and \textit{K. Yagdjian}, Rend. Semin. Mat., Torino 58, No. 3, 375--388 (2000; Zbl 1176.35111) Full Text: EuDML OpenURL
Galstian, A.; Reissig, M. \(L_p\)-\(L_q\) decay estimates for a Klein-Gordon type model equation. (English) Zbl 1052.35045 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1355-1369 (2000). Reviewer: Petar Popivanov (Sofia) MSC: 35B45 35L15 35L80 35Q40 PDF BibTeX XML Cite \textit{A. Galstian} and \textit{M. Reissig}, Int. Soc. Anal. Appl. Comput. 8, 1355--1369 (2000; Zbl 1052.35045) OpenURL
Dreher, Michael; Reissig, Michael Propagation of mild singularities for semilinear weakly hyperbolic equations. (English) Zbl 0964.35099 J. Anal. Math. 82, 233-266 (2000). Reviewer: Marie Kopáčková (Praha) MSC: 35L67 35L70 35B45 35C10 35A20 PDF BibTeX XML Cite \textit{M. Dreher} and \textit{M. Reissig}, J. Anal. Math. 82, 233--266 (2000; Zbl 0964.35099) Full Text: DOI OpenURL