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## Racke, Reinhard

Compute Distance To:
 Author ID: racke.reinhard Published as: Racke, Reinhard; Racke, R.; Racke, Reihard
 Documents Indexed: 109 Publications since 1984, including 7 Books Reviewing Activity: 109 Reviews
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#### Co-Authors

 31 single-authored 14 Muñoz Rivera, Jaime Edilberto 12 Quintanilla de Latorre, Ramón 6 Zheng, Songmu 5 Denk, Robert 5 Said-Houari, Belkacem 5 Shibata, Yoshihiro 4 Hu, Yuxi 4 Wang, Ya-Guang 3 Jiang, Song 3 Ueda, Yoshihiro 2 D’Ancona, Piero 2 Fernández Sare, Hugo D. 2 Jorge da Silva, Marcio Antonio 2 Lesky, Peter H. 2 Ponce, Gustavo 2 Saal, Jürgen 2 Yoshikawa, Shuji 1 Ammar-Khodja, Farid 1 Benabdallah, Assia 1 Borgmeyer, Karin 1 Chełmiński, Krzysztof 1 Dreher, Michael 1 Fang, Beixiang 1 Irmscher, Tilman 1 Kasimov, Aslan R. 1 Khusainov, Denis Ya. 1 Leseduarte, Mari Carme 1 Liu, Zhuangyi 1 Mori, Naofumi 1 Naito, Yuka 1 Pokojovy, Michael 1 Prüß, Jan Wilhelm 1 Sepúlveda, Mauricio A. 1 Shang, Chanyu 1 Sideris, Thomas C. 1 Titi, Edriss Saleh 1 Vera Villagrán, Octavio Paulo 1 Wang, Weike 1 Xue, Rui
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#### Serials

 11 Journal of Differential Equations 6 Mathematical Methods in the Applied Sciences 6 Quarterly of Applied Mathematics 5 Journal of Mathematical Analysis and Applications 4 Advances in Differential Equations 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Mathematics Letters 3 SIAM Journal on Mathematical Analysis 3 Journal of Hyperbolic Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Archives of Mechanics 2 IMA Journal of Applied Mathematics 2 International Journal of Heat and Mass Transfer 2 Applied Mathematics and Optimization 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Evolution Equations and Control Theory 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Journal of Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Aspects of Mathematics 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 1 Mongolian Mathematical Journal
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#### Fields

 103 Partial differential equations (35-XX) 71 Mechanics of deformable solids (74-XX) 16 Classical thermodynamics, heat transfer (80-XX) 6 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

86 Publications have been cited 1,785 times in 905 Documents Cited by Year
Energy decay for Timoshenko systems of memory type. Zbl 1131.74303
Ammar-Khodja, F.; Benabdallah, A.; Muñoz Rivera, J. E.; Racke, R.
2003
Mildly dissipative nonlinear Timoshenko systems – global existence and exponential stability. Zbl 1106.35333
Muñoz Rivera, Jaime E.; Racke, Reinhard
2002
On the stability of damped Timoshenko systems: Cattaneo versus Fourier law. Zbl 1251.74011
Fernández Sare, Hugo D.; Racke, Reinhard
2009
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
2003
Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
Racke, Reinhard
2002
Evolution equations in thermoelasticity. Zbl 0968.35003
Jiang, Song; Racke, Reinhard
2000
Lectures on nonlinear evolution equations. Initial value problems. Zbl 0811.35002
Racke, Reinhard
1992
Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082
Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S.
1994
Timoshenko systems with indefinite damping. Zbl 1139.35023
Muñoz Rivera, Jaime E.; Racke, Reinhard
2008
A note on stability in dual-phase-lag heat conduction. Zbl 1189.80025
Quintanilla, Ramón; Racke, Reinhard
2006
Stability in thermoelasticity of type III. Zbl 1118.74012
Quintanilla, Ramon; Racke, Reinhard
2003
Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type. Zbl 0842.35039
Muñoz Rivera, Jaime E.; Racke, Reinhard
1995
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
2003
Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound. Zbl 1030.74018
Racke, Reinhard
2003
Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1232.35081
Prüss, Jan; Racke, Reinhard; Zheng, Songmu
2006
Qualitative aspects in dual-phase-lag thermoelasticity. Zbl 1096.35082
Quintanilla, Ramón; Racke, Reinhard
2006
A note on stability in three-phase-lag heat conduction. Zbl 1140.80363
Quintanilla, Ramón; Racke, Reinhard
2008
Ill-posed problems in thermomechanics. Zbl 1173.80301
Dreher, Michael; Quintanilla, Ramón; Racke, Reinhard
2009
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
1991
Qualitative aspects in dual-phase-lag heat conduction. Zbl 1134.80005
Quintanilla, Ramón; Racke, Reinhard
2007
Large solutions and smoothing properties for nonlinear thermoelastic systems. Zbl 0852.73018
Muñoz Rivera, Jaime E.; Racke, Reihard
1996
Global existence and asymptotic behavior in nonlinear thermoviscoelasticity. Zbl 0877.35004
Racke, Reinhard; Zheng, Songmu
1997
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
1993
Decay rates and global existence for semilinear dissipative Timoshenko systems. Zbl 1278.35021
Racke, Reinhard; Said-Houari, Belkacem
2013
Instability of coupled systems with delay. Zbl 1267.35246
Racke, Reinhard
2012
Asymptotic stability and global existence in thermoelasticity with symmetry. Zbl 0952.35144
Jiang, S.; Muñoz Rivera, J. E.; Racke, R.
1998
On the existence of global solutions of nonlinear wave equations. (Zur Existenz globaler Lösungen nichtlinearer Wellengleichungen.) Zbl 0798.35107
Racke, R.
1992
$$L^p$$-resolvent estimates and time decay for generalized thermoelastic plate equations. Zbl 1114.35019
Denk, Robert; Racke, Reinhard
2006
Magneto-thermo-elasticity—large-time behavior for linear systems. Zbl 1023.74017
Muñoz Rivera, Jaime E.; Racke, Reinhard
2001
Global existence and decay property of the Timoshenko system in thermoelasticity with second sound. Zbl 1254.35217
Racke, Reinhard; Said-Houari, Belkacem
2012
Dissipative structures for thermoelastic plate equations in $$\mathbb R^n$$. Zbl 1375.35035
Racke, Reinhard; Ueda, Yoshihiro
2016
Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050
Racke, Reinhard; Wang, Ya-Guang
2008
Blow-up in nonlinear three-dimensional thermoelasticity. Zbl 0705.35081
Racke, Reinhard
1990
Decay rates for solutions of damped systems and generalized Fourier transforms. Zbl 0718.35015
Racke, Reinhard
1990
Polynomial stability in two-dimensional magneto-elasticity. Zbl 1029.74020
Muñoz Rivera, Jaime E.; Racke, Reinhard
2001
Non-homogeneous nonlinear damped wave equations in unbounded domains. Zbl 0728.35071
Racke, Reinhard
1990
$$L_p$$ theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2009
Multidimensional contact problems in thermoelasticity. Zbl 0991.74049
Muñoz Rivera, Jaime E.; Racke, Reinhard
1998
Propagation of singularities in one-dimensional thermoelasticity. Zbl 0910.73013
Racke, Reinhard; Wang, Ya-Guang
1998
Phase-lag heat conduction: decay rates for limit problems and well-posedness. Zbl 1316.35033
Borgmeyer, Karin; Quintanilla, Ramón; Racke, Reinhard
2014
Lectures on nonlinear evolution equations. Initial value problems. 2nd edition. Zbl 1329.35006
Racke, Reinhard
2015
Mathematical analysis of thermoplasticity with linear kinematic hardening. Zbl 1123.35077
Chełmiński, K.; Racke, R.
2006
On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates. Zbl 1339.35044
Jorge Silva, M. A.; Muñoz Rivera, J. E.; Racke, R.
2016
Addendum to: “Qualitative aspects of solutions in resonators”. Zbl 1269.74061
Quintanilla, R.; Racke, R.
2011
Spatial behavior in phase-lag heat conduction. Zbl 1363.35236
Quintanilla, Ramón; Racke, Reinhard
2015
Thermoelasticity. Zbl 1192.35179
Racke, Reinhard
2009
On the time-asymptotic behaviour of solutions in thermoelasticity. Zbl 0631.73007
Racke, Reinhard
1987
Nonlinear wave equations in infinite waveguides. Zbl 1036.35144
Lesky, Peter H.; Racke, Reinhard
2003
Sharp decay rates in parabolic and hyperbolic thermoelasticity. Zbl 1115.74017
Irmscher, Tilman; Racke, Reinhard
2006
Global attractors for nonlinear beam equations. Zbl 1270.35122
Racke, Reinhard; Shang, Chanyu
2012
Initial boundary value problems in one-dimensional nonlinear thermoelasticity. Zbl 0654.73011
Racke, Reinhard
1988
Hyperbolic Navier-Stokes equations. I: Local well-posedness. Zbl 1262.35171
Racke, Reinhard; Saal, Jürgen
2012
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Zbl 1188.35023
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2010
Generalized Fourier transforms and global, small solutions to Kirchhoff equations. Zbl 0832.35097
Racke, Reinhard
1995
On the Cauchy problem in nonlinear 3-D-thermoelasticity. Zbl 0701.73002
Racke, Reinhard
1990
Strong and mild extrapolated $$L^{2}$$-solutions to the heat equation with constant delay. Zbl 1331.35357
Khusainov, Denys; Pokojovy, Michael; Racke, Reinhard
2015
On some quasilinear hyperbolic-parabolic initial boundary value problems. Zbl 0706.35098
Jiang, Song; Racke, Reinhard
1990
Global existence of small solutions to the initial value problem for nonlinear thermoelasticity. Zbl 0725.35065
Ponce, Gustavo; Racke, Reinhard
1990
Nonlinear thermoelastic plate equations – global existence and decay rates for the Cauchy problem. Zbl 1378.35036
Racke, Reinhard; Ueda, Yoshihiro
2017
Evolution equations on non-flat waveguides. Zbl 1256.35160
D’Ancona, Piero; Racke, Reinhard
2012
Hyperbolic Navier-Stokes equations. II: Global existence of small solutions. Zbl 1371.35223
Racke, Reinhard; Saal, Jürgen
2012
Compressible Navier-Stokes equations with hyperbolic heat conduction. Zbl 1398.35171
Hu, Yuxi; Racke, Reinhard
2016
Formation of singularities in one-dimensional thermoelasticity with second sound. Zbl 1295.35311
Hu, Yuxi; Racke, Reinhard
2014
$$L^p-L^q$$-estimates for solutions to the equations of linear thermoelasticity in exterior domains. Zbl 0724.35019
Racke, Reinhard
1990
Qualitative aspects of solutions in resonators. Zbl 1175.74030
Quintanilla, R.; Racke, R.
2008
Transmission problems in (thermo)viscoelasticity with Kelvin-Voigt damping: nonexponential, strong, and polynomial stability. Zbl 1391.35057
Muñoz Rivera, Jaime E.; Racke, Reinhard
2017
Compressible Navier-Stokes equations with revised Maxwell’s law. Zbl 1369.35042
Hu, Yuxi; Racke, Reinhard
2017
Decay rates for semilinear viscoelastic systems in weighted spaces. Zbl 1258.35032
Racke, Reinhard; Said-Houari, Belkacem
2012
On (non-)exponential decay in generalized thermoelasticity with two temperatures. Zbl 1375.35044
Leseduarte, M. C.; Quintanilla, R.; Racke, R.
2017
Exponential decay for a class of initial boundary value problems in thermoelasticity. Zbl 0799.35101
Racke, Reinhard
1993
On thermoelastic waves. (Über thermoelastische Wellen.) Zbl 0573.73035
Racke, Reinhard
1984
Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound. Zbl 1093.35016
Racke, Reinhard; Wang, Ya-Guang
2005
Stability of abstract thermoelastic systems with inertial terms. Zbl 1432.35023
Fernández Sare, Hugo D.; Liu, Zhuangyi; Racke, Reinhard
2019
Asymptotic behavior of discontinuous solutions in 3-D thermoelasticity with second sound. Zbl 1171.35334
Racke, Reinhard; Wang, Ya-Guang
2008
Elastic and electro-magnetic waves in infinite waveguides. Zbl 1137.35044
Lesky, Peter H.; Racke, Reinhard
2008
Exponential stability for wave equations with non-dissipative damping. Zbl 1140.35355
Muñoz Rivera, Jaime E.; Racke, Reinhard
2008
Weakly hyperbolic equations in domains with boundaries. Zbl 0933.34067
D’Ancona, Piero; Racke, Reinhard
1998
Singular limits in the Cauchy problem for the damped extensible beam equation. Zbl 1331.35239
Racke, Reinhard; Yoshikawa, Shuji
2015
Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound. Zbl 1364.35044
Kasimov, Aslan; Racke, Reinhard; Said-Houari, Belkacem
2014
Decay estimates for the Cauchy problem for the damped extensible beam equation. Zbl 1347.35042
Racke, Reinhard; Yoshikawa, Shuji
2016
Stability for thermoelastic plates with two temperatures. Zbl 1391.35060
Quintanilla, Ramón; Racke, Reinhard
2017
Asymptotic behavior of damped systems and generalized Fourier transforms. Zbl 0969.35008
Racke, Reinhard
1997
Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains. Zbl 0762.35042
Racke, Reinhard; Zheng, Songmu
1991
The Cauchy problem for thermoelastic plates with two temperatures. Zbl 1445.35047
Racke, Reinhard; Ueda, Yoshihiro
2020
Ill-posedness of coupled systems with delay. Zbl 1423.35430
Fischer, Lisa; Racke, Reinhard
2018
Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects. Zbl 1391.35061
Racke, Reinhard; Wang, Weike; Xue, Rui
2017
The Cauchy problem for thermoelastic plates with two temperatures. Zbl 1445.35047
Racke, Reinhard; Ueda, Yoshihiro
2020
Stability of abstract thermoelastic systems with inertial terms. Zbl 1432.35023
Fernández Sare, Hugo D.; Liu, Zhuangyi; Racke, Reinhard
2019
Ill-posedness of coupled systems with delay. Zbl 1423.35430
Fischer, Lisa; Racke, Reinhard
2018
Nonlinear thermoelastic plate equations – global existence and decay rates for the Cauchy problem. Zbl 1378.35036
Racke, Reinhard; Ueda, Yoshihiro
2017
Transmission problems in (thermo)viscoelasticity with Kelvin-Voigt damping: nonexponential, strong, and polynomial stability. Zbl 1391.35057
Muñoz Rivera, Jaime E.; Racke, Reinhard
2017
Compressible Navier-Stokes equations with revised Maxwell’s law. Zbl 1369.35042
Hu, Yuxi; Racke, Reinhard
2017
On (non-)exponential decay in generalized thermoelasticity with two temperatures. Zbl 1375.35044
Leseduarte, M. C.; Quintanilla, R.; Racke, R.
2017
Stability for thermoelastic plates with two temperatures. Zbl 1391.35060
Quintanilla, Ramón; Racke, Reinhard
2017
Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects. Zbl 1391.35061
Racke, Reinhard; Wang, Weike; Xue, Rui
2017
Dissipative structures for thermoelastic plate equations in $$\mathbb R^n$$. Zbl 1375.35035
Racke, Reinhard; Ueda, Yoshihiro
2016
On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates. Zbl 1339.35044
Jorge Silva, M. A.; Muñoz Rivera, J. E.; Racke, R.
2016
Compressible Navier-Stokes equations with hyperbolic heat conduction. Zbl 1398.35171
Hu, Yuxi; Racke, Reinhard
2016
Decay estimates for the Cauchy problem for the damped extensible beam equation. Zbl 1347.35042
Racke, Reinhard; Yoshikawa, Shuji
2016
Lectures on nonlinear evolution equations. Initial value problems. 2nd edition. Zbl 1329.35006
Racke, Reinhard
2015
Spatial behavior in phase-lag heat conduction. Zbl 1363.35236
Quintanilla, Ramón; Racke, Reinhard
2015
Strong and mild extrapolated $$L^{2}$$-solutions to the heat equation with constant delay. Zbl 1331.35357
Khusainov, Denys; Pokojovy, Michael; Racke, Reinhard
2015
Singular limits in the Cauchy problem for the damped extensible beam equation. Zbl 1331.35239
Racke, Reinhard; Yoshikawa, Shuji
2015
Phase-lag heat conduction: decay rates for limit problems and well-posedness. Zbl 1316.35033
Borgmeyer, Karin; Quintanilla, Ramón; Racke, Reinhard
2014
Formation of singularities in one-dimensional thermoelasticity with second sound. Zbl 1295.35311
Hu, Yuxi; Racke, Reinhard
2014
Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound. Zbl 1364.35044
Kasimov, Aslan; Racke, Reinhard; Said-Houari, Belkacem
2014
Decay rates and global existence for semilinear dissipative Timoshenko systems. Zbl 1278.35021
Racke, Reinhard; Said-Houari, Belkacem
2013
Instability of coupled systems with delay. Zbl 1267.35246
Racke, Reinhard
2012
Global existence and decay property of the Timoshenko system in thermoelasticity with second sound. Zbl 1254.35217
Racke, Reinhard; Said-Houari, Belkacem
2012
Global attractors for nonlinear beam equations. Zbl 1270.35122
Racke, Reinhard; Shang, Chanyu
2012
Hyperbolic Navier-Stokes equations. I: Local well-posedness. Zbl 1262.35171
Racke, Reinhard; Saal, Jürgen
2012
Evolution equations on non-flat waveguides. Zbl 1256.35160
D&rsquo;Ancona, Piero; Racke, Reinhard
2012
Hyperbolic Navier-Stokes equations. II: Global existence of small solutions. Zbl 1371.35223
Racke, Reinhard; Saal, Jürgen
2012
Decay rates for semilinear viscoelastic systems in weighted spaces. Zbl 1258.35032
Racke, Reinhard; Said-Houari, Belkacem
2012
Addendum to: “Qualitative aspects of solutions in resonators”. Zbl 1269.74061
Quintanilla, R.; Racke, R.
2011
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Zbl 1188.35023
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2010
On the stability of damped Timoshenko systems: Cattaneo versus Fourier law. Zbl 1251.74011
Fernández Sare, Hugo D.; Racke, Reinhard
2009
Ill-posed problems in thermomechanics. Zbl 1173.80301
Dreher, Michael; Quintanilla, Ramón; Racke, Reinhard
2009
$$L_p$$ theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2009
Thermoelasticity. Zbl 1192.35179
Racke, Reinhard
2009
Timoshenko systems with indefinite damping. Zbl 1139.35023
Muñoz Rivera, Jaime E.; Racke, Reinhard
2008
A note on stability in three-phase-lag heat conduction. Zbl 1140.80363
Quintanilla, Ramón; Racke, Reinhard
2008
Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050
Racke, Reinhard; Wang, Ya-Guang
2008
Qualitative aspects of solutions in resonators. Zbl 1175.74030
Quintanilla, R.; Racke, R.
2008
Asymptotic behavior of discontinuous solutions in 3-D thermoelasticity with second sound. Zbl 1171.35334
Racke, Reinhard; Wang, Ya-Guang
2008
Elastic and electro-magnetic waves in infinite waveguides. Zbl 1137.35044
Lesky, Peter H.; Racke, Reinhard
2008
Exponential stability for wave equations with non-dissipative damping. Zbl 1140.35355
Muñoz Rivera, Jaime E.; Racke, Reinhard
2008
Qualitative aspects in dual-phase-lag heat conduction. Zbl 1134.80005
Quintanilla, Ramón; Racke, Reinhard
2007
A note on stability in dual-phase-lag heat conduction. Zbl 1189.80025
Quintanilla, Ramón; Racke, Reinhard
2006
Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1232.35081
Prüss, Jan; Racke, Reinhard; Zheng, Songmu
2006
Qualitative aspects in dual-phase-lag thermoelasticity. Zbl 1096.35082
Quintanilla, Ramón; Racke, Reinhard
2006
$$L^p$$-resolvent estimates and time decay for generalized thermoelastic plate equations. Zbl 1114.35019
Denk, Robert; Racke, Reinhard
2006
Mathematical analysis of thermoplasticity with linear kinematic hardening. Zbl 1123.35077
Chełmiński, K.; Racke, R.
2006
Sharp decay rates in parabolic and hyperbolic thermoelasticity. Zbl 1115.74017
Irmscher, Tilman; Racke, Reinhard
2006
Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound. Zbl 1093.35016
Racke, Reinhard; Wang, Ya-Guang
2005
Energy decay for Timoshenko systems of memory type. Zbl 1131.74303
Ammar-Khodja, F.; Benabdallah, A.; Muñoz Rivera, J. E.; Racke, R.
2003
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
2003
Stability in thermoelasticity of type III. Zbl 1118.74012
Quintanilla, Ramon; Racke, Reinhard
2003
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
2003
Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound. Zbl 1030.74018
Racke, Reinhard
2003
Nonlinear wave equations in infinite waveguides. Zbl 1036.35144
Lesky, Peter H.; Racke, Reinhard
2003
Mildly dissipative nonlinear Timoshenko systems – global existence and exponential stability. Zbl 1106.35333
Muñoz Rivera, Jaime E.; Racke, Reinhard
2002
Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
Racke, Reinhard
2002
Magneto-thermo-elasticity—large-time behavior for linear systems. Zbl 1023.74017
Muñoz Rivera, Jaime E.; Racke, Reinhard
2001
Polynomial stability in two-dimensional magneto-elasticity. Zbl 1029.74020
Muñoz Rivera, Jaime E.; Racke, Reinhard
2001
Evolution equations in thermoelasticity. Zbl 0968.35003
Jiang, Song; Racke, Reinhard
2000
Asymptotic stability and global existence in thermoelasticity with symmetry. Zbl 0952.35144
Jiang, S.; Muñoz Rivera, J. E.; Racke, R.
1998
Multidimensional contact problems in thermoelasticity. Zbl 0991.74049
Muñoz Rivera, Jaime E.; Racke, Reinhard
1998
Propagation of singularities in one-dimensional thermoelasticity. Zbl 0910.73013
Racke, Reinhard; Wang, Ya-Guang
1998
Weakly hyperbolic equations in domains with boundaries. Zbl 0933.34067
D&rsquo;Ancona, Piero; Racke, Reinhard
1998
Global existence and asymptotic behavior in nonlinear thermoviscoelasticity. Zbl 0877.35004
Racke, Reinhard; Zheng, Songmu
1997
Asymptotic behavior of damped systems and generalized Fourier transforms. Zbl 0969.35008
Racke, Reinhard
1997
Large solutions and smoothing properties for nonlinear thermoelastic systems. Zbl 0852.73018
Muñoz Rivera, Jaime E.; Racke, Reihard
1996
Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type. Zbl 0842.35039
Muñoz Rivera, Jaime E.; Racke, Reinhard
1995
Generalized Fourier transforms and global, small solutions to Kirchhoff equations. Zbl 0832.35097
Racke, Reinhard
1995
Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082
Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S.
1994
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
1993
Exponential decay for a class of initial boundary value problems in thermoelasticity. Zbl 0799.35101
Racke, Reinhard
1993
Lectures on nonlinear evolution equations. Initial value problems. Zbl 0811.35002
Racke, Reinhard
1992
On the existence of global solutions of nonlinear wave equations. (Zur Existenz globaler Lösungen nichtlinearer Wellengleichungen.) Zbl 0798.35107
Racke, R.
1992
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
1991
Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains. Zbl 0762.35042
Racke, Reinhard; Zheng, Songmu
1991
Blow-up in nonlinear three-dimensional thermoelasticity. Zbl 0705.35081
Racke, Reinhard
1990
Decay rates for solutions of damped systems and generalized Fourier transforms. Zbl 0718.35015
Racke, Reinhard
1990
Non-homogeneous nonlinear damped wave equations in unbounded domains. Zbl 0728.35071
Racke, Reinhard
1990
On the Cauchy problem in nonlinear 3-D-thermoelasticity. Zbl 0701.73002
Racke, Reinhard
1990
On some quasilinear hyperbolic-parabolic initial boundary value problems. Zbl 0706.35098
Jiang, Song; Racke, Reinhard
1990
Global existence of small solutions to the initial value problem for nonlinear thermoelasticity. Zbl 0725.35065
Ponce, Gustavo; Racke, Reinhard
1990
$$L^p-L^q$$-estimates for solutions to the equations of linear thermoelasticity in exterior domains. Zbl 0724.35019
Racke, Reinhard
1990
Initial boundary value problems in one-dimensional nonlinear thermoelasticity. Zbl 0654.73011
Racke, Reinhard
1988
On the time-asymptotic behaviour of solutions in thermoelasticity. Zbl 0631.73007
Racke, Reinhard
1987
On thermoelastic waves. (Über thermoelastische Wellen.) Zbl 0573.73035
Racke, Reinhard
1984
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#### Cited by 785 Authors

 58 Quintanilla de Latorre, Ramón 49 Muñoz Rivera, Jaime Edilberto 42 Racke, Reinhard 38 Messaoudi, Salim A. 26 Said-Houari, Belkacem 23 Miranville, Alain M. 19 Mustafa, Muhammad Islam 19 Qin, Yuming 16 Aouadi, Moncef 16 Soufyane, Abdelaziz 13 Feng, Baowei 12 Fernández Sare, Hugo D. 12 Kawashima, Shuichi 11 Apalara, Tijani A. 11 Mukhopadhyay, Santwana 11 Santos, Mauro Lima 11 Tatar, Nasser-eddine 11 Wang, Ya-Guang 10 Alves, Margareth Silva 10 Copetti, Maria Inês M. 10 Fernández, Jose Ramon 10 Guesmia, Aissa 10 Jorge da Silva, Marcio Antonio 10 Kanoria, Mridula 10 Liu, Zhuangyi 10 Pokojovy, Michael 10 Vera Villagrán, Octavio Paulo 9 Denk, Robert 9 Han, Zhongjie 9 Jiang, Song 9 Lasiecka, Irena 9 Liu, Wenjun 9 Naso, Maria Grazia 9 Pata, Vittorino 9 Shibata, Yoshihiro 9 Ueda, Yoshihiro 8 D’Ancona, Piero 8 Xu, Gen-Qi 7 Almeida Júnior, Dilberto da Silva 7 Colli, Pierluigi 7 Fareh, Abdelfeteh 7 Grobbelaar-Van Dalsen, Marié 7 Hao, Jianghao 7 Hu, Yuxi 7 Ikehata, Ryo 7 Ma, To Fu 7 Ma, Zhiyong 7 Magaña, Antonio 7 Sprekels, Jürgen 7 Suzuki, Masahiro 7 Yagdjian, Karen 6 Afilal, Mounir 6 Conti, Monica C. 6 Fatori, Luci Harue 6 Gallagher, Isabelle 6 Gilardi, Gianni 6 Leseduarte, Mari Carme 6 Monteiro, Rodrigo Nunes 6 Nicaise, Serge 6 Raposo, Carlos Alberto 6 Straughan, Brian 6 Zampoli, Vittorio 5 Alabau-Boussouira, Fatiha 5 Bazarra, Noelia 5 Campo, Marco A. 5 Cherfils, Laurence 5 Chiriţă, Stan 5 Dell’Oro, Filippo 5 Gatti, Stefania 5 Lazzari, Barbara 5 Milani, Albert J. 5 Mori, Naofumi 5 Mucha, Piotr Bogusław 5 Ramos, Anderson J. A. 5 Reissig, Michael 5 Rendall, Alan D. 5 Wu, Hao 5 Yoshikawa, Shuji 4 Benaissa, Abbes 4 Cui, Xia 4 Djebabla, Abdelhak 4 Foiaş, Ciprian Ilie 4 Galstian, Anahit 4 Grasselli, Maurizio 4 Gupta, Manushi 4 Hamadouche, Taklit 4 Hidano, Kunio 4 Hoang, Luan Thach 4 Jia, Yan 4 Martín, José Antonio 4 Nibbi, Roberta 4 Rodríguez Mateos, Francisco 4 Schimperna, Giulio 4 Schnaubelt, Roland 4 Sepúlveda, Mauricio A. 4 Sur, Abhik 4 Takeda, Hiroshi 4 Wehbe, Ali 4 Xu, Jiang 4 Yang, Lin ...and 685 more Authors
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#### Cited in 196 Serials

 85 Journal of Mathematical Analysis and Applications 61 Journal of Differential Equations 52 ZAMP. Zeitschrift für angewandte Mathematik und Physik 38 Applicable Analysis 37 Mathematical Methods in the Applied Sciences 36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Nonlinear Analysis. Real World Applications 20 Applied Mathematics and Optimization 17 Applied Mathematics and Computation 17 Applied Mathematics Letters 15 Communications on Pure and Applied Analysis 13 Journal of Mathematical Physics 13 Quarterly of Applied Mathematics 13 Communications in Partial Differential Equations 13 Mathematics and Mechanics of Solids 12 Acta Mechanica 10 Journal of Computational and Applied Mathematics 9 SIAM Journal on Mathematical Analysis 9 Journal of Evolution Equations 8 Archive for Rational Mechanics and Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 Evolution Equations and Control Theory 8 Nonlinear Analysis. Theory, Methods & Applications 7 Zeitschrift für Analysis und ihre Anwendungen 7 Journal of Elasticity 7 NoDEA. Nonlinear Differential Equations and Applications 7 Discrete and Continuous Dynamical Systems 7 Journal of Mathematical Fluid Mechanics 7 Journal of Hyperbolic Differential Equations 6 International Journal of Engineering Science 6 Meccanica 6 Chinese Annals of Mathematics. Series B 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematische Nachrichten 5 Transactions of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Mathematical and Computer Modelling 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Communications in Mathematical Physics 4 International Journal of Heat and Mass Transfer 4 Advances in Mathematics 4 Mechanics Research Communications 4 Physica D 4 Applied Numerical Mathematics 4 Asymptotic Analysis 4 European Journal of Applied Mathematics 4 Applications of Mathematics 4 Applied Mathematical Modelling 4 Abstract and Applied Analysis 4 Journal of Dynamical and Control Systems 4 Living Reviews in Relativity 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Advances in Difference Equations 4 Boundary Value Problems 3 Integral Equations and Operator Theory 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Integral Equations and Applications 3 Archive of Applied Mechanics 3 Computational and Applied Mathematics 3 Taiwanese Journal of Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Acta Mathematica Sinica. English Series 3 Communications in Contemporary Mathematics 3 Journal of Applied Mathematics 3 Portugaliae Mathematica. Nova Série 3 Mediterranean Journal of Mathematics 3 International Journal of Differential Equations 3 Arabian Journal of Mathematics 3 Journal of Applied Analysis and Computation 3 AIMS Mathematics 2 Archives of Mechanics 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Osaka Journal of Mathematics 2 Semigroup Forum 2 Systems & Control Letters 2 International Journal of Computer Mathematics 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Electronic Journal of Differential Equations (EJDE) 2 Bulletin des Sciences Mathématiques 2 Vietnam Journal of Mathematics 2 Journal of Applied Mechanics and Technical Physics 2 Annales Henri Poincaré 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Kinetic and Related Models 2 Analysis & PDE ...and 96 more Serials
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#### Cited in 33 Fields

 758 Partial differential equations (35-XX) 504 Mechanics of deformable solids (74-XX) 124 Systems theory; control (93-XX) 114 Fluid mechanics (76-XX) 96 Classical thermodynamics, heat transfer (80-XX) 57 Operator theory (47-XX) 38 Numerical analysis (65-XX) 30 Dynamical systems and ergodic theory (37-XX) 20 Ordinary differential equations (34-XX) 18 Integral equations (45-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 9 Quantum theory (81-XX) 8 Relativity and gravitational theory (83-XX) 7 Mechanics of particles and systems (70-XX) 6 Functional analysis (46-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 Real functions (26-XX) 3 Biology and other natural sciences (92-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX)