## Reissig, Michael

Compute Distance To:
 Author ID: reissig.michael Published as: Reissig, Michael; Reissig, M. External Links: Wikidata · GND · IdRef
 Documents Indexed: 139 Publications since 1987, including 2 Books 6 Contributions as Editor Reviewing Activity: 260 Reviews Co-Authors: 68 Co-Authors with 119 Joint Publications 871 Co-Co-Authors
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### Co-Authors

 22 single-authored 10 Yagdjian, Karen 9 Cicognani, Massimo 6 D’Abbicco, Marcello 6 Ebert, Marcelo Rempel 6 Hirosawa, Fumihiko 5 Del Santo, Daniele 5 Lu, Xiaojun 5 Mezadek, Mohamed Kainane 5 Wang, Ya-Guang 4 Dao, Tuan Anh 4 Dreher, Michael 4 Kinoshita, Tamotu 3 Aslan, Halit Sevki 3 Böhme, Christiane 3 Palmieri, Alessandro 3 Timofeev, Alexej Yu. 2 Bui, Tang Bao Ngoc 2 Cerejeiras, Paula 2 Chen, Wenhui 2 Djaouti, Abdelhamid Mohammed 2 Fang, Daoyuan 2 Girardi, Giovanni 2 Herrmann, Torsten 2 Jachmann, Kay 2 Kaddour, Tayeb Hadj 2 Kubo, Akisato 2 Lucente, Sandra 2 Mezadek, Mourad Kainane 2 Reich, Maximilian 2 Sickel, Winfried 1 Ascanelli, Alessia 1 Bourdaud, Gérard 1 Colombini, Ferruccio 1 D’Ancona, Piero 1 do Nascimento, Wanderley Nunes 1 Dubinskiĭ, Yuliĭ Andreevich 1 Duong, Pham Trieu 1 Galstian, Anahit 1 Ilschukov, A. S. 1 Kapp, Rafael Augusto dos Santos 1 Khokhlov, Yuriĭ Evgen’evich 1 Liu, Yan 1 Lorenz, Daniel 1 Matsuyama, Tokio 1 Matthes, Sascha Djamal 1 Mezadek, Abdelatif Kainane 1 Narazaki, Takashi 1 Nascimento, W. N. 1 Obolashvili, Elena Irodionovna 1 Parmeggiani, Alberto 1 Pham, Duong Trieu 1 Pham, Trieu Duong 1 Picard, Rainer H. 1 Pleshchinskii, Nikolaij Borisovich 1 Reuther, Christiane 1 Rogosin, Sergei V. 1 Ruzhansky, Michael V. 1 Ruziev, Menglibay Kholtojibaevich 1 Sabadini, Irene 1 Schulze, Bert-Wolfgang 1 Tang Bao Ngoc Bui 1 Timofeev, Alexei 1 Toft, Joachim 1 von Wolfersdorf, Lothar 1 Wegert, Elias 1 Wirth, Jens 1 Yagdzhyan, K. A. 1 Zajączkowski, Wojciech M.
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### Serials

 10 Mathematical Methods in the Applied Sciences 8 Journal of Differential Equations 7 Mathematische Nachrichten 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Mathematical Analysis and Applications 4 Chinese Annals of Mathematics. Series B 4 International Journal of Dynamical Systems and Differential Equations 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Hokkaido Mathematical Journal 3 Complex Variables. Theory and Application 3 Advances in Differential Equations 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Applicable Analysis 2 Tsukuba Journal of Mathematics 2 Rendiconti del Seminario Matematico 2 Zeitschrift für Analysis und ihre Anwendungen 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Communications on Pure and Applied Analysis 2 Journal of Hyperbolic Differential Equations 2 Journal of Pseudo-Differential Operators and Applications 2 Springer Proceedings in Mathematics & Statistics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annals of Global Analysis and Geometry 1 Differential and Integral Equations 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Partial Differential Equations 1 Advances in Mathematical Sciences and Applications 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Doklady. Seminar Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Banach Center Publications 1 Journal of Abstract Differential Equations and Applications (JADEA) 1 Eurasian Mathematical Journal 1 Springer INdAM Series 1 Evolution Equations and Control Theory 1 Operator Theory: Advances and Applications 1 Trends in Mathematics
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### Fields

 141 Partial differential equations (35-XX) 8 Functions of a complex variable (30-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of deformable solids (74-XX) 6 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

109 Publications have been cited 970 times in 442 Documents Cited by Year
Semilinear structural damped waves. Zbl 1295.35324
D’Abbicco, M.; Reissig, M.
2014
Semi-linear wave equations with effective damping. Zbl 1278.35150
D’Abbicco, Marcello; Lucente, Sandra; Reissig, Michael
2013
A shift in the strauss exponent for semilinear wave equations with a not effective damping. Zbl 1329.35205
D’Abbicco, Marcello; Lucente, Sandra; Reissig, Michael
2015
$$L^p$$-$$L^q$$ estimate for wave equation with bounded time dependent coefficient. Zbl 1090.35046
Reissig, Michael; Smith, James
2005
On the optimal regularity of coefficients in hyperbolic Cauchy problems. Zbl 1037.35038
Colombini, Ferruccio; Del Santo, Daniele; Reissig, Michael
2003
Global existence for semi-linear structurally damped $$\sigma$$-evolution models. Zbl 1327.35411
Pham, Duong Trieu; Kainane Mezadek, Mohamed; Reissig, Michael
2015
$$L^1$$ estimates for oscillating integrals related to structural damped wave models. Zbl 1275.35011
Narazaki, Takashi; Reissig, Michael
2013
A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane. Zbl 0802.35168
Reissig, Michael; von Wolfersdorf, Lothar
1993
Cauchy problems for linear thermoelastic systems of type III in one space variable. Zbl 1070.35111
Reissig, Michael; Wang, Ya-Guang
2005
$$L_p$$-$$L_q$$ decay estimates for wave equations with time-dependent coefficients. Zbl 1071.35093
Reissig, Michael
2004
Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. II. Zbl 1397.35156
Palmieri, Alessandro; Reissig, Michael
2018
Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. Zbl 1382.35166
do Nascimento, Wanderley Nunes; Palmieri, Alessandro; Reissig, Michael
2017
About the influence of oscillations on Strichartz-type decay estimates. Zbl 1176.35111
Reissig, M.; Yagdjian, K.
2000
Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Zbl 06811166
Ebert, Marcelo R.; Reissig, Michael
2018
A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass. Zbl 1404.35065
Palmieri, Alessandro; Reissig, Michael
2019
$$L_p$$-$$L_q$$ decay estimates for the solutions of strictly hyperbolic equations of second order with increasing in time coefficients. Zbl 1006.35057
Reissig, Michael; Yagdjian, Karen
2000
One application of Floquet’s theory to $$L_p$$-$$L_q$$ estimates for hyperbolic equations with very fast oscillations. Zbl 0949.35024
Reissig, Michael; Yagdjian, Karen
1999
Construction of parametrix to strictly hyperbolic Cauchy problems with fast oscillations in non-Lipschitz coefficients. Zbl 1036.35118
Kubo, Akisato; Reissig, Michael
2003
Rates of decay for structural damped models with decreasing in time coefficients. Zbl 1188.35025
Lu, Xiaojun; Reissig, Michael
2009
Hyperbolic equations with non-Lipschitz coefficients. Zbl 1182.35155
Reissig, M.
2003
Structurally damped elastic waves in 2D. Zbl 1357.35208
Reissig, Michael
2016
A scale-invariant Klein-Gordon model with time-dependent potential. Zbl 1326.35184
Böhme, Christiane; Reissig, Michael
2012
About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients. Zbl 1103.35080
Kinoshita, Tamotu; Reissig, Michael
2005
About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. Zbl 1170.35471
Reissig, M.; Hirosawa, Fumihiko
2004
An application of $$L^{1}$$ estimates for oscillating integrals to parabolic like semi-linear structurally damped $$\sigma$$-evolution models. Zbl 07053219
Dao, Tuan Anh; Reissig, Michael
2019
Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135
Ebert, Marcelo Rempel; Reissig, Michael
2016
The interplay between time-dependent speed of propagation and dissipation in wave models. Zbl 1332.35038
Bui, Tang Bao Ngoc; Reissig, Michael
2014
Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D. Zbl 1414.35126
Chen, Wenhui; Reissig, Michael
2019
Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. Zbl 1387.35080
Ebert, M. R.; Reissig, M.
2018
Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data. Zbl 1397.35149
Mohammed Djaouti, Abdelhamid; Reissig, Michael
2018
Loss of regularity for $$p$$-evolution type models. Zbl 1154.35065
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
$$L^1$$ estimates for oscillating integrals and their applications to semi-linear models with $$\sigma$$-evolution like structural damping. Zbl 1418.35274
Dao, Tuan Anh; Reissig, Michael
2019
Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary value problems with kinetic undercooling regularization (with an Appendix by F. Hübner). Zbl 0954.35010
Reissig, M.; Rogosin, S. V.
1999
Does the loss of regularity really appear? Zbl 1172.35456
Lu, Xiaojun; Reissig, Michael
2009
Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077
Bourdaud, Gérard; Reissig, M.; Sickel, Winfried
2003
Qualitative properties of structurally damped wave models. Zbl 1332.35197
Matthes, S.; Reissig, M.
2013
Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. Zbl 1047.35079
Hirosawa, Fumihiko; Reissig, Michael
2004
The existence and uniqueness of analytic solutions for a moving boundary problem for Hele-Shaw flows in the plane. Zbl 0826.35142
Reissig, M.
1994
Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012
Reich, Maximilian; Reissig, Michael; Sickel, Winfried
2016
On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization. Zbl 0844.35089
Hohlov, Yu. E.; Reissig, M.
1995
Global existence of small data solutions for wave models with sub-exponential propagation speed. Zbl 1331.35236
Tang Bao Ngoc Bui; Reissig, Michael
2015
The Log-effect for $$p$$-evolution type models. Zbl 1170.35057
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
Qualitative properties of solutions to structurally damped $$\sigma$$-evolution models with time increasing coefficient in the dissipation. Zbl 1332.35382
2015
From wave to Klein-Gordon type decay rates. Zbl 1052.35110
Hirosawa, Fumihiko; Reissig, Michael
2003
Weakly hyperbolic equation with fast oscillating coefficients. Zbl 1008.35042
Reissig, Michael; Yagdjian, Karen
1999
Variational problems in Clifford analysis. Zbl 1020.30051
Dubinskii, Julii; Reissig, Michael
2002
Global existence of small data solutions for wave models with super-exponential propagation speed. Zbl 1320.35215
Bui, Tang Bao Ngoc; Reissig, Michael
2015
On Schrödinger type evolution equations with non-Lipschitz coefficients. Zbl 1242.35099
Cicognani, Massimo; Reissig, Michael
2011
Well-posedness for degenerate Schrödinger equations. Zbl 1286.35086
Cicognani, Massimo; Reissig, Michael
2014
Local solutions of fully nonlinear weakly hyperbolic differential equations in Sobolev spaces. Zbl 0904.35054
Dreher, Michael; Reissig, Michael
1998
High-order energy decay for structural damped systems in the electromagnetical field. Zbl 1209.35020
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2010
A scale of critical exponents for semilinear waves with time-dependent damping and mass terms. Zbl 1415.35039
D’Abbicco, M.; Girardi, G.; Reissig, M.
2019
Blow-up of solutions to Nakao’s problem via an iteration argument. Zbl 1455.35148
Chen, Wenhui; Reissig, Michael
2021
A unified treatment of models of thermoelasticity, decay and diffusion phenomena. Zbl 1184.35300
Jachmann, K.; Reissig, M.
2009
Hele-Shaw flows with nonlinear kinetic undercooling regularization. Zbl 1205.76090
Pleshchinskii, Nikolaij Borisovich; Reissig, Michael
2002
Propagation of mild singularities for semilinear weakly hyperbolic equations. Zbl 0964.35099
Dreher, Michael; Reissig, Michael
2000
$$C^{\infty}$$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space. Zbl 1035.35083
Kubo, Akisato; Reissig, Michael
2003
Levi conditions and global Gevrey regularity for the solutions of quasilinear weakly hyperbolic equations. Zbl 0848.35078
Reissig, Michael; Yagdjian, Karen
1996
Levi condition for hyperbolic equations with oscillating coefficients. Zbl 1098.35095
Hirosawa, Fumihiko; Reissig, Michael
2006
Energy bounds for Klein-Gordon equations with time-dependent potential. Zbl 1310.35148
Böhme, Christiane; Reissig, Michael
2013
Klein-Gordon type equations with a singular time-dependent potential. Zbl 1159.35387
Del Santo, D.; Kinoshita, T.; Reissig, M.
2007
Long time asymptotics for 2 by 2 hyperbolic systems. Zbl 1213.35293
D’Abbicco, M.; Reissig, M.
2011
Blow-up results for semi-linear structurally damped $$\sigma$$-evolution equations. Zbl 1461.35070
Dao, Tuan Anh; Reissig, Michael
2021
Critical regularity of nonlinearities in semilinear classical damped wave equations. Zbl 1450.35158
Ebert, M. R.; Girardi, G.; Reissig, M.
2020
Propagation of mild singularities in higher dimensional thermoelasticity. Zbl 0952.74021
Reissig, Michael; Wang, Ya-Guang
1999
Energy estimates for strictly hyperbolic equations with low regularity in coefficients. Zbl 1212.35281
Del Santo, Daniele; Kinoshita, Tamotu; Reissig, Michael
2007
Qualitative properties of solution to structurally damped $$\sigma$$-evolution models with time decreasing coefficient in the dissipation. Zbl 1348.35129
2015
The external damping Cauchy problems with general powers of the Laplacian. Zbl 1383.35056
Duong, Pham Trieu; Reissig, Michael
2017
Dirichlet problems for generalized Cauchy-Riemann system with singular coefficients. Zbl 1084.30054
Reissig, Michael; Timofeev, Alexei
2005
Weakly hyperbolic equations with time degeneracy in Sobolev spaces. Zbl 0938.35109
Reissig, Michael
1997
$$L_p-L_q$$ decay estimates for hyperbolic equations with oscillations in coefficients. Zbl 0947.35025
Reissig, M.; Yagdjian, K.
2000
Special Vekua equations with singular coefficients. Zbl 1039.30025
Reissig, Michael; Timofeev, Alexej
1999
Tricomi type equations with terms of lower order. Zbl 1442.45002
Ruziev, Menglibay; Reissig, Michael
2016
Stability of global Gevrey solution to weakly hyperbolic equations. Zbl 0891.35101
Reissig, M.; Yagdjian, K.
1997
Cauchy problem for linear thermoelastic systems. I: A unified approach. Zbl 1189.80018
Jachmann, Kay; Reissig, Michael
2009
About a nonstationary mixed problem for holomorphic functions arising by the study of a potential flow past a circular cylinder with permeable surface. Zbl 0818.35004
Reissig, Michael
1993
Anisotropic thermo-elasticity in 2D. I: A unified treatment. Zbl 1166.35006
Reissig, Michael; Wirth, Jens
2008
Nonlinear boundary value problems for elliptic systems in the plane. Zbl 0845.30026
Reissig, Michael; Wegert, Elias
1995
Instability behavior and loss of regularity. Zbl 1197.35178
Lu, Xiaojun; Reissig, Michael
2009
A refined diagonalization procedure to handle fast oscillations in degenerate hyperbolic problems. Zbl 1050.35045
Reissig, Michael
2003
Semi-linear fractional $$\sigma$$-evolution equations with mass or power non-linearity. Zbl 1407.35215
2018
A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space. Zbl 1477.35324
Lorenz, Daniel; Reissig, Michael
2019
$$H^\infty$$ well-posedness for degenerate $$p$$-evolution models of higher order with time-dependent coefficients. Zbl 1273.35091
Herrmann, Torsten; Reissig, Michael; Yagdjian, Karen
2013
The log-effect for $$2$$ by $$2$$ hyperbolic systems. Zbl 1187.35134
Kinoshita, Tamotu; Reissig, Michael
2010
Klein-Gordon type decay rates for wave equations with time-dependent coefficients. Zbl 0983.35078
Reissig, Michael; Yagdjian, Karen
2000
On $$L_p$$-$$L_q$$ estimates for solutions of a special weakly hyperbolic equation. Zbl 0990.35087
Reissig, Michael
1997
Parabolic type decay rates for 1-d-thermoelastic systems with time-dependent coefficients. Zbl 1031.35145
Wang, Ya-Guang; Reissig, Michael
2003
About the $$C^\infty$$-well-posedness of fully nonlinear weakly hyperbolic equations of second order with spatial degeneracy. Zbl 1023.35521
Dreher, M.; Reissig, M.
1997
Leray-Volevich conditions for systems of abstract evolution equations of Nirenberg/Nishida type. Zbl 0833.35003
Reissig, Michael
1994
Blow-up of the energy at infinity for 2 by 2 systems. Zbl 1233.35034
D’Abbicco, M.; Reissig, M.
2012
Rates of decay for structural damped models with coefficients strictly increasing in time. Zbl 1246.35038
Reissig, Michael
2011
The interplay between decay of the data and regularity of the solution in Schrödinger equations. Zbl 1442.35361
Ascanelli, Alessia; Cicognani, Massimo; Reissig, Michael
2020
The influence of oscillations on global existence for a class of semi-linear wave equations. Zbl 1225.35148
Ebert, M. R.; Reissig, Michael
2011
Models of thermodiffusion in 1D. Zbl 1292.35084
Liu, Yan; Reissig, Michael
2014
Wave equations in modulation spaces – decay versus loss of regularity. Zbl 1428.35195
Reich, Maximilian; Reissig, Michael
2019
Influence of strong time-dependent oscillations in semilinear damped wave models. Zbl 1455.35014
Aslan, Halit Sevki; Reissig, Michael
2020
Semilinear wave models with friction and viscoelastic damping. Zbl 1447.35211
2020
New trends in the theory of nonlinear weakly hyperbolic equations of second order. Zbl 0890.35076
D’Ancona, Piero; Reissig, Michael
1997
Energy estimates for wave models with time-dependent coefficients. Zbl 1184.35082
Böhme, C.; Reissig, M.
2009
Analysis of weak singularities of solutions to 1-D thermoelasticity. Zbl 0986.35004
Reissig, M.; Wang, Y. G.
1999
Blow-up of solutions to Nakao’s problem via an iteration argument. Zbl 1455.35148
Chen, Wenhui; Reissig, Michael
2021
Blow-up results for semi-linear structurally damped $$\sigma$$-evolution equations. Zbl 1461.35070
Dao, Tuan Anh; Reissig, Michael
2021
Global well-posedness for effectively damped wave models with nonlinear memory. Zbl 1466.35264
2021
The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations. Zbl 1471.35194
Dao, Tuan Anh; Reissig, Michael
2021
Critical regularity of nonlinearities in semilinear classical damped wave equations. Zbl 1450.35158
Ebert, M. R.; Girardi, G.; Reissig, M.
2020
The interplay between decay of the data and regularity of the solution in Schrödinger equations. Zbl 1442.35361
Ascanelli, Alessia; Cicognani, Massimo; Reissig, Michael
2020
Influence of strong time-dependent oscillations in semilinear damped wave models. Zbl 1455.35014
Aslan, Halit Sevki; Reissig, Michael
2020
Semilinear wave models with friction and viscoelastic damping. Zbl 1447.35211
2020
A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass. Zbl 1404.35065
Palmieri, Alessandro; Reissig, Michael
2019
An application of $$L^{1}$$ estimates for oscillating integrals to parabolic like semi-linear structurally damped $$\sigma$$-evolution models. Zbl 07053219
Dao, Tuan Anh; Reissig, Michael
2019
Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D. Zbl 1414.35126
Chen, Wenhui; Reissig, Michael
2019
$$L^1$$ estimates for oscillating integrals and their applications to semi-linear models with $$\sigma$$-evolution like structural damping. Zbl 1418.35274
Dao, Tuan Anh; Reissig, Michael
2019
A scale of critical exponents for semilinear waves with time-dependent damping and mass terms. Zbl 1415.35039
D&rsquo;Abbicco, M.; Girardi, G.; Reissig, M.
2019
A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space. Zbl 1477.35324
Lorenz, Daniel; Reissig, Michael
2019
Wave equations in modulation spaces – decay versus loss of regularity. Zbl 1428.35195
Reich, Maximilian; Reissig, Michael
2019
Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. II. Zbl 1397.35156
Palmieri, Alessandro; Reissig, Michael
2018
Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Zbl 06811166
Ebert, Marcelo R.; Reissig, Michael
2018
Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. Zbl 1387.35080
Ebert, M. R.; Reissig, M.
2018
Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data. Zbl 1397.35149
Mohammed Djaouti, Abdelhamid; Reissig, Michael
2018
Semi-linear fractional $$\sigma$$-evolution equations with mass or power non-linearity. Zbl 1407.35215
2018
Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. Zbl 1382.35166
do Nascimento, Wanderley Nunes; Palmieri, Alessandro; Reissig, Michael
2017
The external damping Cauchy problems with general powers of the Laplacian. Zbl 1383.35056
Duong, Pham Trieu; Reissig, Michael
2017
Structurally damped elastic waves in 2D. Zbl 1357.35208
Reissig, Michael
2016
Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135
Ebert, Marcelo Rempel; Reissig, Michael
2016
Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012
Reich, Maximilian; Reissig, Michael; Sickel, Winfried
2016
Tricomi type equations with terms of lower order. Zbl 1442.45002
Ruziev, Menglibay; Reissig, Michael
2016
A shift in the strauss exponent for semilinear wave equations with a not effective damping. Zbl 1329.35205
D&rsquo;Abbicco, Marcello; Lucente, Sandra; Reissig, Michael
2015
Global existence for semi-linear structurally damped $$\sigma$$-evolution models. Zbl 1327.35411
Pham, Duong Trieu; Kainane Mezadek, Mohamed; Reissig, Michael
2015
Global existence of small data solutions for wave models with sub-exponential propagation speed. Zbl 1331.35236
Tang Bao Ngoc Bui; Reissig, Michael
2015
Qualitative properties of solutions to structurally damped $$\sigma$$-evolution models with time increasing coefficient in the dissipation. Zbl 1332.35382
2015
Global existence of small data solutions for wave models with super-exponential propagation speed. Zbl 1320.35215
Bui, Tang Bao Ngoc; Reissig, Michael
2015
Qualitative properties of solution to structurally damped $$\sigma$$-evolution models with time decreasing coefficient in the dissipation. Zbl 1348.35129
2015
Some remarks on Gevrey well-posedness for degenerate Schrödinger equations. Zbl 1354.35021
Cicognani, Massimo; Reissig, Michael
2015
Semilinear structural damped waves. Zbl 1295.35324
D&rsquo;Abbicco, M.; Reissig, M.
2014
The interplay between time-dependent speed of propagation and dissipation in wave models. Zbl 1332.35038
Bui, Tang Bao Ngoc; Reissig, Michael
2014
Well-posedness for degenerate Schrödinger equations. Zbl 1286.35086
Cicognani, Massimo; Reissig, Michael
2014
Models of thermodiffusion in 1D. Zbl 1292.35084
Liu, Yan; Reissig, Michael
2014
Semi-linear wave equations with effective damping. Zbl 1278.35150
D&rsquo;Abbicco, Marcello; Lucente, Sandra; Reissig, Michael
2013
$$L^1$$ estimates for oscillating integrals related to structural damped wave models. Zbl 1275.35011
Narazaki, Takashi; Reissig, Michael
2013
Qualitative properties of structurally damped wave models. Zbl 1332.35197
Matthes, S.; Reissig, M.
2013
Energy bounds for Klein-Gordon equations with time-dependent potential. Zbl 1310.35148
Böhme, Christiane; Reissig, Michael
2013
$$H^\infty$$ well-posedness for degenerate $$p$$-evolution models of higher order with time-dependent coefficients. Zbl 1273.35091
Herrmann, Torsten; Reissig, Michael; Yagdjian, Karen
2013
A scale-invariant Klein-Gordon model with time-dependent potential. Zbl 1326.35184
Böhme, Christiane; Reissig, Michael
2012
Blow-up of the energy at infinity for 2 by 2 systems. Zbl 1233.35034
D&rsquo;Abbicco, M.; Reissig, M.
2012
On Schrödinger type evolution equations with non-Lipschitz coefficients. Zbl 1242.35099
Cicognani, Massimo; Reissig, Michael
2011
Long time asymptotics for 2 by 2 hyperbolic systems. Zbl 1213.35293
D&rsquo;Abbicco, M.; Reissig, M.
2011
Rates of decay for structural damped models with coefficients strictly increasing in time. Zbl 1246.35038
Reissig, Michael
2011
The influence of oscillations on global existence for a class of semi-linear wave equations. Zbl 1225.35148
Ebert, M. R.; Reissig, Michael
2011
High-order energy decay for structural damped systems in the electromagnetical field. Zbl 1209.35020
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2010
The log-effect for $$2$$ by $$2$$ hyperbolic systems. Zbl 1187.35134
Kinoshita, Tamotu; Reissig, Michael
2010
Rates of decay for structural damped models with decreasing in time coefficients. Zbl 1188.35025
Lu, Xiaojun; Reissig, Michael
2009
Does the loss of regularity really appear? Zbl 1172.35456
Lu, Xiaojun; Reissig, Michael
2009
A unified treatment of models of thermoelasticity, decay and diffusion phenomena. Zbl 1184.35300
Jachmann, K.; Reissig, M.
2009
Cauchy problem for linear thermoelastic systems. I: A unified approach. Zbl 1189.80018
Jachmann, Kay; Reissig, Michael
2009
Instability behavior and loss of regularity. Zbl 1197.35178
Lu, Xiaojun; Reissig, Michael
2009
Energy estimates for wave models with time-dependent coefficients. Zbl 1184.35082
Böhme, C.; Reissig, M.
2009
$$\nu$$-loss of derivatives for an evolution type model. Zbl 1181.35030
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2009
Loss of regularity for $$p$$-evolution type models. Zbl 1154.35065
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
The Log-effect for $$p$$-evolution type models. Zbl 1170.35057
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
Anisotropic thermo-elasticity in 2D. I: A unified treatment. Zbl 1166.35006
Reissig, Michael; Wirth, Jens
2008
Klein-Gordon type equations with a singular time-dependent potential. Zbl 1159.35387
Del Santo, D.; Kinoshita, T.; Reissig, M.
2007
Energy estimates for strictly hyperbolic equations with low regularity in coefficients. Zbl 1212.35281
Del Santo, Daniele; Kinoshita, Tamotu; Reissig, Michael
2007
Levi condition for hyperbolic equations with oscillating coefficients. Zbl 1098.35095
Hirosawa, Fumihiko; Reissig, Michael
2006
A dyadic decomposition approach to a finitely degenerate hyperbolic problem. Zbl 1134.35080
Cicognani, Massimo; Del Santo, Daniele; Reissig, Michael
2006
$$L^p$$-$$L^q$$ estimate for wave equation with bounded time dependent coefficient. Zbl 1090.35046
Reissig, Michael; Smith, James
2005
Cauchy problems for linear thermoelastic systems of type III in one space variable. Zbl 1070.35111
Reissig, Michael; Wang, Ya-Guang
2005
About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients. Zbl 1103.35080
Kinoshita, Tamotu; Reissig, Michael
2005
Dirichlet problems for generalized Cauchy-Riemann system with singular coefficients. Zbl 1084.30054
Reissig, Michael; Timofeev, Alexei
2005
$$L_p$$-$$L_q$$ decay estimates for wave equations with time-dependent coefficients. Zbl 1071.35093
Reissig, Michael
2004
About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. Zbl 1170.35471
Reissig, M.; Hirosawa, Fumihiko
2004
Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. Zbl 1047.35079
Hirosawa, Fumihiko; Reissig, Michael
2004
On the optimal regularity of coefficients in hyperbolic Cauchy problems. Zbl 1037.35038
Colombini, Ferruccio; Del Santo, Daniele; Reissig, Michael
2003
Construction of parametrix to strictly hyperbolic Cauchy problems with fast oscillations in non-Lipschitz coefficients. Zbl 1036.35118
Kubo, Akisato; Reissig, Michael
2003
Hyperbolic equations with non-Lipschitz coefficients. Zbl 1182.35155
Reissig, M.
2003
Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077
Bourdaud, Gérard; Reissig, M.; Sickel, Winfried
2003
From wave to Klein-Gordon type decay rates. Zbl 1052.35110
Hirosawa, Fumihiko; Reissig, Michael
2003
$$C^{\infty}$$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space. Zbl 1035.35083
Kubo, Akisato; Reissig, Michael
2003
A refined diagonalization procedure to handle fast oscillations in degenerate hyperbolic problems. Zbl 1050.35045
Reissig, Michael
2003
Parabolic type decay rates for 1-d-thermoelastic systems with time-dependent coefficients. Zbl 1031.35145
Wang, Ya-Guang; Reissig, Michael
2003
Variational problems in Clifford analysis. Zbl 1020.30051
Dubinskii, Julii; Reissig, Michael
2002
Hele-Shaw flows with nonlinear kinetic undercooling regularization. Zbl 1205.76090
Pleshchinskii, Nikolaij Borisovich; Reissig, Michael
2002
Klein-Gordon type decay rates for wave equations with a time-dependent dissipation. Zbl 1002.35076
Reissig, Michael
2001
About the influence of oscillations on Strichartz-type decay estimates. Zbl 1176.35111
Reissig, M.; Yagdjian, K.
2000
$$L_p$$-$$L_q$$ decay estimates for the solutions of strictly hyperbolic equations of second order with increasing in time coefficients. Zbl 1006.35057
Reissig, Michael; Yagdjian, Karen
2000
Propagation of mild singularities for semilinear weakly hyperbolic equations. Zbl 0964.35099
Dreher, Michael; Reissig, Michael
2000
$$L_p-L_q$$ decay estimates for hyperbolic equations with oscillations in coefficients. Zbl 0947.35025
Reissig, M.; Yagdjian, K.
2000
Klein-Gordon type decay rates for wave equations with time-dependent coefficients. Zbl 0983.35078
Reissig, Michael; Yagdjian, Karen
2000
One application of Floquet’s theory to $$L_p$$-$$L_q$$ estimates for hyperbolic equations with very fast oscillations. Zbl 0949.35024
Reissig, Michael; Yagdjian, Karen
1999
Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary value problems with kinetic undercooling regularization (with an Appendix by F. Hübner). Zbl 0954.35010
Reissig, M.; Rogosin, S. V.
1999
Weakly hyperbolic equation with fast oscillating coefficients. Zbl 1008.35042
Reissig, Michael; Yagdjian, Karen
1999
Propagation of mild singularities in higher dimensional thermoelasticity. Zbl 0952.74021
Reissig, Michael; Wang, Ya-Guang
1999
Special Vekua equations with singular coefficients. Zbl 1039.30025
Reissig, Michael; Timofeev, Alexej
1999
Analysis of weak singularities of solutions to 1-D thermoelasticity. Zbl 0986.35004
Reissig, M.; Wang, Y. G.
1999
Local solutions of fully nonlinear weakly hyperbolic differential equations in Sobolev spaces. Zbl 0904.35054
Dreher, Michael; Reissig, Michael
1998
Analytical and numerical treatment of Hele-Shaw models with and without regularization. Zbl 0917.35167
Reissig, M.; Hübner, F.
1998
Weakly hyperbolic equations with time degeneracy in Sobolev spaces. Zbl 0938.35109
Reissig, Michael
1997
Stability of global Gevrey solution to weakly hyperbolic equations. Zbl 0891.35101
Reissig, M.; Yagdjian, K.
1997
On $$L_p$$-$$L_q$$ estimates for solutions of a special weakly hyperbolic equation. Zbl 0990.35087
Reissig, Michael
1997
About the $$C^\infty$$-well-posedness of fully nonlinear weakly hyperbolic equations of second order with spatial degeneracy. Zbl 1023.35521
Dreher, M.; Reissig, M.
1997
New trends in the theory of nonlinear weakly hyperbolic equations of second order. Zbl 0890.35076
D&rsquo;Ancona, Piero; Reissig, Michael
1997
...and 9 more Documents
all top 5

### Cited by 367 Authors

 52 Reissig, Michael 35 D’Abbicco, Marcello 22 Ikehata, Ryo 18 Ebert, Marcelo Rempel 17 Hirosawa, Fumihiko 17 Palmieri, Alessandro 14 Ascanelli, Alessia 12 Yagdjian, Karen 11 Chen, Wenhui 11 Wakasugi, Yuta 10 Cicognani, Massimo 10 Dao, Tuan Anh 10 Wirth, Jens 9 Charão, Ruy Coimbra 9 Ikeda, Masahiro 9 Takeda, Hiroshi 8 Lai, Ningan 8 Lucente, Sandra 8 Wakasa, Kyouhei 7 Cappiello, Marco 7 Galstian, Anahit 7 Girardi, Giovanni 7 Lu, Xiaojun 7 Ruzhansky, Michael V. 7 Takamura, Hiroyuki 6 Colombini, Ferruccio 6 Hamza, Mohamed Ali 6 Kinoshita, Tamotu 6 Nishihara, Kenji 6 Tu, Ziheng 5 Aliev, Akbar B. 5 Boiti, Chiara 5 da Luz, Cleverson Roberto 5 Del Santo, Daniele 5 Ghisi, Marina 5 Gobbino, Massimo 5 Hamouda, Makram 5 Wang, Ya-Guang 5 Witt, Ingo 5 Xie, Xuming 5 Yang, Lin 4 Fino, Ahmad Z. 4 Liu, Yan 4 Qin, Yuming 4 Rogosin, Sergei V. 4 Said-Houari, Belkacem 4 Shi, Jincheng 4 Vasilev, Alexander 4 Yin, Huicheng 4 Yordanov, Borislav T. 4 Zhang, Binlin 3 Aslan, Halit Sevki 3 Böhme, Christiane 3 Curt, Paula 3 Dreher, Michael 3 Freitas, Mirelson M. 3 Fu, Yongqiang 3 Fujiwara, Kazumasa 3 Gourdin, Daniel 3 Gramchev, Todor V. 3 Inui, Takahisa 3 Kiran, N. Uday 3 Lin, Yu-Lin 3 McCue, Scott William 3 Mezadek, Mohamed Kainane 3 Michihisa, Hironori 3 Mishuris, Gennady S. 3 Oliaro, Alessandro 3 Pashaev, Asif F. 3 Pattar, Rahul Raju 3 Picon, Tiago Henrique 3 Piske, Alessandra 3 Rădulescu, Vicenţiu D. 3 Ramos, Anderson J. A. 3 Rasulov, Abdurauf Babadzhanovich 3 Schiavone, Nico Michele 3 Sobajima, Motohiro 3 Todorova, Grozdena Hr. 3 Wrobel, Michal 3 Zhai, Jian 2 Arawomo, Peter Olutola 2 Bachelot, Alain 2 Bhimani, Divyang G. 2 Bobodzhanova, Mashkura Abdukhafizovna 2 Borovikov, I. A. 2 Bui, Tang Bao Ngoc 2 Dallaston, Michael Charles 2 D’Ancona, Piero 2 De Luca, Alessandra 2 Djaouti, Abdelhamid Mohammed 2 Fang, Daoyuan 2 Federico, Serena 2 Fedorov, Yury Sergeevich 2 Georgiev, Vladimir S. 2 Giorgadze, Grigory 2 He, Daoyin 2 Hoshino, Gaku 2 Huang, Lihong 2 Huicheng, Yin 2 Jannelli, Enrico ...and 267 more Authors
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### Cited in 116 Serials

 55 Journal of Differential Equations 47 Journal of Mathematical Analysis and Applications 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 NoDEA. Nonlinear Differential Equations and Applications 11 Mathematical Methods in the Applied Sciences 10 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 10 Journal of Pseudo-Differential Operators and Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Communications on Pure and Applied Analysis 7 Bulletin des Sciences Mathématiques 7 Discrete and Continuous Dynamical Systems 7 Nonlinear Analysis. Real World Applications 6 Applicable Analysis 6 European Journal of Applied Mathematics 6 Communications in Partial Differential Equations 6 Journal of Evolution Equations 6 Mediterranean Journal of Mathematics 5 Archive for Rational Mechanics and Analysis 5 Applied Mathematics and Computation 5 Asymptotic Analysis 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Mathematical Physics 4 Mathematische Nachrichten 4 Osaka Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Journal of Hyperbolic Differential Equations 4 Complex Variables and Elliptic Equations 3 Journal d’Analyse Mathématique 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Journal of Mathematical Sciences (New York) 3 Advances in Applied Clifford Algebras 3 Discrete and Continuous Dynamical Systems. Series S 3 Nonlinear Analysis. Theory, Methods & Applications 3 AIMS Mathematics 2 Communications in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Optimization 2 Hokkaido Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Meccanica 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Quarterly of Applied Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Dynamics and Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 The Journal of Fourier Analysis and Applications 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Differential Equations 2 Computational Methods and Function Theory 2 Boundary Value Problems 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Evolution Equations and Control Theory 1 Computers & Mathematics with Applications 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Automatica 1 Compositio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Physica D 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Japan Journal of Industrial and Applied Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Russian Journal of Mathematical Physics 1 Integral Transforms and Special Functions 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Soft Computing 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré ...and 16 more Serials
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### Cited in 32 Fields

 411 Partial differential equations (35-XX) 42 Mechanics of deformable solids (74-XX) 41 Fluid mechanics (76-XX) 22 Functions of a complex variable (30-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Functional analysis (46-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 9 Operator theory (47-XX) 8 Relativity and gravitational theory (83-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Abstract harmonic analysis (43-XX) 6 Numerical analysis (65-XX) 6 Systems theory; control (93-XX) 4 Special functions (33-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)

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