Aslan, Halit Sevki; Reissig, Michael Visco-elastic damped wave models with time-dependent coefficient. (English) Zbl 07961230 Math. Nachr. 297, No. 12, 4535-4581 (2024). MSC: 35B40 35L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wenhui; Reissig, Michael On the critical regularity of nonlinearities for semilinear classical wave equations. (English) Zbl 07932399 Math. Ann. 390, No. 3, 4087-4122 (2024). MSC: 35L71 35L15 35B33 35B44 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van Duong, Dinh; Dao, Tuan Anh; Reissig, Michael Critical curve for a weakly coupled system of semi-linear \(\sigma\)-evolution equations with different damping types. arXiv:2406.00450 Preprint, arXiv:2406.00450 [math.AP] (2024). MSC: 35A01 35B33 35B44 35L52 × Cite Format Result Cite Full Text: arXiv OA License
Mezadek, Abdelatif Kainane; Reissig, Michael Semilinear evolution models with scale-invariant friction and visco-elastic damping. (English) Zbl 1521.35120 Commun. Pure Appl. Anal. 22, No. 8, 2501-2532 (2023). MSC: 35L71 35B33 35B44 35L15 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ebert, M. R.; Reissig, M. A note to semilinear de Sitter models in 1d with balanced mass and dissipation. (English) Zbl 1517.35133 Nonlinear Anal., Real World Appl. 71, Article ID 103835, 9 p. (2023). MSC: 35L15 35L71 × Cite Format Result Cite Review PDF Full Text: DOI
Aslan, Halit Sevki; Ebert, Marcelo Rempel; Reissig, Michael Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation. (English) Zbl 1549.35312 Differ. Integral Equ. 36, No. 5-6, 453-490 (2023). MSC: 35L71 35L15 35B44 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
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 1506.35124 J. Evol. Equ. 23, No. 1, Paper No. 13, 21 p. (2023). MSC: 35L71 35L15 35B33 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 1516.35456 J. Math. Anal. Appl. 476, No. 2, 426-463 (2019). MSC: 35R11 35L15 35L71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wenhui; Reissig, Michael Some remarks on Blow-up of solutions to Nakao’s problem. arXiv:1904.03938 Preprint, arXiv:1904.03938 [math.AP] (2019). × Cite Format Result Cite Full Text: arXiv OA License
Dao, Tuan Anh; Reissig, Michael A remark on semi-linear damped \(\sigma\)-evolution equations with a modulus of continuity term in nonlinearity. arXiv:1904.00698 Preprint, arXiv:1904.00698 [math.AP] (2019). MSC: 26A15 35L30 35L76 × Cite Format Result Cite Full Text: arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ebert, Marcelo R.; Reissig, Michael Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. (English) Zbl 1503.35003 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 × Cite Format Result Cite Review PDF Full Text: DOI
Aslan, Halit Sevki; Reissig, Michael The influence of oscillations on energy estimates for damped wave models with time-dependent propagation speed and dissipation. arXiv:1809.10179 Preprint, arXiv:1809.10179 [math.AP] (2018). MSC: 35L15 × Cite Format Result Cite Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: Euclid
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: MNR
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: arXiv
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Reissig, Michael; Wirth, Jens \(L^p\)–\(L^q\) decay estimates for wave equations with monotone time-dependent dissipation. arXiv:math/0508549 Preprint, arXiv:math/0508549 [math.AP] (2005). MSC: 35L15 35B45 34E20 × Cite Format Result Cite Full Text: arXiv
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: EuDML
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Reissig, Michael About strictly hyperbolic operators with non-regular coefficients. (English) Zbl 1524.35355 PLISKA, Stud. Math. Bulg. 15, 105-130 (2003). MSC: 35L15 35L80 35S05 35S30 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: EuDML
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF