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Author ID: racke.reinhard Recent zbMATH articles by "Racke, Reinhard"
Published as: Racke, Reinhard; Racke, R.; Racke, Reihard
Documents Indexed: 115 Publications since 1984, including 7 Books and 1 Additional arXiv Preprint
Reviewing Activity: 109 Reviews
Co-Authors: 43 Co-Authors with 83 Joint Publications
1,358 Co-Co-Authors
all top 5

Serials

12 Journal of Differential Equations
6 Journal of Mathematical Analysis and Applications
6 Mathematical Methods in the Applied Sciences
6 Quarterly of Applied Mathematics
4 SIAM Journal on Mathematical Analysis
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 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 Communications on Pure and Applied Analysis
2 Evolution Equations and Control Theory
1 Communications in Mathematical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Chaos, Solitons and Fractals
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 Aspects of Mathematics
1 Bonner Mathematische Schriften
1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics
1 Mongolian Mathematical Journal

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 2,316 times in 1,183 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.
180
2003
Mildly dissipative nonlinear Timoshenko systems – global existence and exponential stability. Zbl 1106.35333
Muñoz Rivera, Jaime E.; Racke, Reinhard
161
2002
On the stability of damped Timoshenko systems: Cattaneo versus Fourier law. Zbl 1251.74011
Fernández Sare, Hugo D.; Racke, Reinhard
138
2009
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
117
2003
Evolution equations in thermoelasticity. Zbl 0968.35003
Jiang, Song; Racke, Reinhard
91
2000
Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
Racke, Reinhard
88
2002
Lectures on nonlinear evolution equations. Initial value problems. Zbl 0811.35002
Racke, Reinhard
81
1992
A note on stability in dual-phase-lag heat conduction. Zbl 1189.80025
Quintanilla, Ramón; Racke, Reinhard
70
2006
Timoshenko systems with indefinite damping. Zbl 1139.35023
Muñoz Rivera, Jaime E.; Racke, Reinhard
70
2008
Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082
Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S.
68
1994
A note on stability in three-phase-lag heat conduction. Zbl 1140.80363
Quintanilla, Ramón; Racke, Reinhard
61
2008
Stability in thermoelasticity of type III. Zbl 1118.74012
Quintanilla, Ramon; Racke, Reinhard
58
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
57
1995
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
55
2003
Qualitative aspects in dual-phase-lag thermoelasticity. Zbl 1096.35082
Quintanilla, Ramón; Racke, Reinhard
45
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
45
2006
Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound. Zbl 1030.74018
Racke, Reinhard
43
2003
Ill-posed problems in thermomechanics. Zbl 1173.80301
Dreher, Michael; Quintanilla, Ramón; Racke, Reinhard
43
2009
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
36
1991
Large solutions and smoothing properties for nonlinear thermoelastic systems. Zbl 0852.73018
Muñoz Rivera, Jaime E.; Racke, Reihard
35
1996
Qualitative aspects in dual-phase-lag heat conduction. Zbl 1134.80005
Quintanilla, Ramón; Racke, Reinhard
35
2007
Instability of coupled systems with delay. Zbl 1267.35246
Racke, Reinhard
26
2012
Decay rates and global existence for semilinear dissipative Timoshenko systems. Zbl 1278.35021
Racke, Reinhard; Said-Houari, Belkacem
24
2013
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
24
1993
Dissipative structures for thermoelastic plate equations in \(\mathbb R^n\). Zbl 1375.35035
Racke, Reinhard; Ueda, Yoshihiro
23
2016
Global existence and asymptotic behavior in nonlinear thermoviscoelasticity. Zbl 0877.35004
Racke, Reinhard; Zheng, Songmu
21
1997
Magneto-thermo-elasticity—large-time behavior for linear systems. Zbl 1023.74017
Muñoz Rivera, Jaime E.; Racke, Reinhard
21
2001
Asymptotic stability and global existence in thermoelasticity with symmetry. Zbl 0952.35144
Jiang, S.; Muñoz Rivera, J. E.; Racke, R.
21
1998
\(L^p\)-resolvent estimates and time decay for generalized thermoelastic plate equations. Zbl 1114.35019
Denk, Robert; Racke, Reinhard
20
2006
On the existence of global solutions of nonlinear wave equations. (Zur Existenz globaler Lösungen nichtlinearer Wellengleichungen.) Zbl 0798.35107
Racke, R.
20
1992
Hyperbolic Navier-Stokes equations. II: Global existence of small solutions. Zbl 1371.35223
Racke, Reinhard; Saal, Jürgen
19
2012
Global existence and decay property of the Timoshenko system in thermoelasticity with second sound. Zbl 1254.35217
Racke, Reinhard; Said-Houari, Belkacem
18
2012
Spatial behavior in phase-lag heat conduction. Zbl 1363.35236
Quintanilla, Ramón; Racke, Reinhard
18
2015
Hyperbolic Navier-Stokes equations. I: Local well-posedness. Zbl 1262.35171
Racke, Reinhard; Saal, Jürgen
16
2012
Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050
Racke, Reinhard; Wang, Ya-Guang
16
2008
Lectures on nonlinear evolution equations. Initial value problems. 2nd edition. Zbl 1329.35006
Racke, Reinhard
16
2015
Nonlinear thermoelastic plate equations – global existence and decay rates for the Cauchy problem. Zbl 1378.35036
Racke, Reinhard; Ueda, Yoshihiro
16
2017
Multidimensional contact problems in thermoelasticity. Zbl 0991.74049
Muñoz Rivera, Jaime E.; Racke, Reinhard
15
1998
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.
15
2016
\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
15
2009
Phase-lag heat conduction: decay rates for limit problems and well-posedness. Zbl 1316.35033
Borgmeyer, Karin; Quintanilla, Ramón; Racke, Reinhard
15
2014
Polynomial stability in two-dimensional magneto-elasticity. Zbl 1029.74020
Muñoz Rivera, Jaime E.; Racke, Reinhard
14
2001
Decay rates for solutions of damped systems and generalized Fourier transforms. Zbl 0718.35015
Racke, Reinhard
13
1990
Blow-up in nonlinear three-dimensional thermoelasticity. Zbl 0705.35081
Racke, Reinhard
13
1990
Thermoelasticity. Zbl 1192.35179
Racke, Reinhard
13
2009
Transmission problems in (thermo)viscoelasticity with Kelvin-Voigt damping: nonexponential, strong, and polynomial stability. Zbl 1391.35057
Muñoz Rivera, Jaime E.; Racke, Reinhard
13
2017
Initial boundary value problems in one-dimensional nonlinear thermoelasticity. Zbl 0654.73011
Racke, Reinhard
12
1988
Non-homogeneous nonlinear damped wave equations in unbounded domains. Zbl 0728.35071
Racke, Reinhard
12
1990
Compressible Navier-Stokes equations with hyperbolic heat conduction. Zbl 1398.35171
Hu, Yuxi; Racke, Reinhard
12
2016
Compressible Navier-Stokes equations with revised Maxwell’s law. Zbl 1369.35042
Hu, Yuxi; Racke, Reinhard
12
2017
Addendum to: “Qualitative aspects of solutions in resonators”. Zbl 1269.74061
Quintanilla, R.; Racke, R.
12
2011
Propagation of singularities in one-dimensional thermoelasticity. Zbl 0910.73013
Racke, Reinhard; Wang, Ya-Guang
11
1998
Mathematical analysis of thermoplasticity with linear kinematic hardening. Zbl 1123.35077
Chełmiński, K.; Racke, R.
11
2006
Sharp decay rates in parabolic and hyperbolic thermoelasticity. Zbl 1115.74017
Irmscher, Tilman; Racke, Reinhard
11
2006
Nonlinear wave equations in infinite waveguides. Zbl 1036.35144
Lesky, Peter H.; Racke, Reinhard
11
2003
Global existence of small solutions to the initial value problem for nonlinear thermoelasticity. Zbl 0725.35065
Ponce, Gustavo; Racke, Reinhard
11
1990
On the time-asymptotic behaviour of solutions in thermoelasticity. Zbl 0631.73007
Racke, Reinhard
10
1987
Global attractors for nonlinear beam equations. Zbl 1270.35122
Racke, Reinhard; Shang, Chanyu
10
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
10
2010
On some quasilinear hyperbolic-parabolic initial boundary value problems. Zbl 0706.35098
Jiang, Song; Racke, Reinhard
9
1990
Formation of singularities in one-dimensional thermoelasticity with second sound. Zbl 1295.35311
Hu, Yuxi; Racke, Reinhard
9
2014
On the Cauchy problem in nonlinear 3-D-thermoelasticity. Zbl 0701.73002
Racke, Reinhard
9
1990
Strong and mild extrapolated \(L^{2}\)-solutions to the heat equation with constant delay. Zbl 1331.35357
Khusainov, Denys; Pokojovy, Michael; Racke, Reinhard
9
2015
Global well-posedness of the Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation. Zbl 1476.35052
Racke, Reinhard; Said-Houari, Belkacem
8
2021
Generalized Fourier transforms and global, small solutions to Kirchhoff equations. Zbl 0832.35097
Racke, Reinhard
7
1995
Evolution equations on non-flat waveguides. Zbl 1256.35160
D’Ancona, Piero; Racke, Reinhard
7
2012
Qualitative aspects of solutions in resonators. Zbl 1175.74030
Quintanilla, R.; Racke, R.
6
2008
Effects of history and heat models on the stability of thermoelastic Timoshenko systems. Zbl 1467.35052
Jorge Silva, M. A.; Racke, R.
6
2021
Stability of abstract thermoelastic systems with inertial terms. Zbl 1432.35023
Fernández Sare, Hugo D.; Liu, Zhuangyi; Racke, Reinhard
6
2019
\(L^p-L^q\)-estimates for solutions to the equations of linear thermoelasticity in exterior domains. Zbl 0724.35019
Racke, Reinhard
5
1990
Decay for thermoelastic Green-Lindsay plates in bounded and unbounded domains. Zbl 1512.35577
Quintanilla, Ramón; Racke, Reinhard; Ueda, Yoshihiro
5
2023
Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects. Zbl 1391.35061
Racke, Reinhard; Wang, Weike; Xue, Rui
4
2017
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
4
2014
Decay rates for semilinear viscoelastic systems in weighted spaces. Zbl 1258.35032
Racke, Reinhard; Said-Houari, Belkacem
4
2012
Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations. Zbl 1487.35248
Hu, Yuxi; Racke, Reinhard; Wang, Na
4
2022
On (non-)exponential decay in generalized thermoelasticity with two temperatures. Zbl 1375.35044
Leseduarte, M. C.; Quintanilla, R.; Racke, R.
4
2017
Asymptotic behavior of discontinuous solutions in 3-D thermoelasticity with second sound. Zbl 1171.35334
Racke, Reinhard; Wang, Ya-Guang
4
2008
Exponential stability for wave equations with non-dissipative damping. Zbl 1140.35355
Muñoz Rivera, Jaime E.; Racke, Reinhard
4
2008
On thermoelastic waves. (Über thermoelastische Wellen.) Zbl 0573.73035
Racke, Reinhard
3
1984
Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound. Zbl 1093.35016
Racke, Reinhard; Wang, Ya-Guang
3
2005
Exponential decay for a class of initial boundary value problems in thermoelasticity. Zbl 0799.35101
Racke, Reinhard
3
1993
Hyperbolic compressible Navier-Stokes equations. Zbl 1439.35029
Hu, Yuxi; Racke, Reinhard
3
2020
The Cauchy problem for thermoelastic plates with two temperatures. Zbl 1445.35047
Racke, Reinhard; Ueda, Yoshihiro
3
2020
Elastic and electro-magnetic waves in infinite waveguides. Zbl 1137.35044
Lesky, Peter H.; Racke, Reinhard
3
2008
Singular limits in the Cauchy problem for the damped extensible beam equation. Zbl 1331.35239
Racke, Reinhard; Yoshikawa, Shuji
3
2015
Weakly hyperbolic equations in domains with boundaries. Zbl 0933.34067
D’Ancona, Piero; Racke, Reinhard
2
1998
Decay estimates for the Cauchy problem for the damped extensible beam equation. Zbl 1347.35042
Racke, Reinhard; Yoshikawa, Shuji
2
2016
Mathematical modeling, forecasting, and optimal control of typhoid fever transmission dynamics. Zbl 1485.93465
Abboubakar, Hamadjam; Racke, Reinhard
2
2021
Stability for thermoelastic plates with two temperatures. Zbl 1391.35060
Quintanilla, Ramón; Racke, Reinhard
2
2017
Asymptotic behavior of damped systems and generalized Fourier transforms. Zbl 0969.35008
Racke, Reinhard
1
1997
Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains. Zbl 0762.35042
Racke, Reinhard; Zheng, Songmu
1
1991
Low frequency expansion in thermoelasticity with second sound in three dimensions. Zbl 1207.35211
Naito, Yuka; Racke, Reinhard; Shibata, Yoshihiro
1
2010
On exponential stability for thermoelastic plates: comparison and singular limits. Zbl 1470.80004
Muñoz Rivera, J. E.; Racke, R.; Sepúlveda, M.; Villagrán, O. Vera
1
2021
Ill-posedness of coupled systems with delay. Zbl 1423.35430
Fischer, Lisa; Racke, Reinhard
1
2018
Global well-posedness and polynomial decay for a nonlinear Timoshenko-Cattaneo system under minimal Sobolev regularity. Zbl 1403.35051
Mori, Naofumi; Racke, Reinhard
1
2018
Decay for thermoelastic Green-Lindsay plates in bounded and unbounded domains. Zbl 1512.35577
Quintanilla, Ramón; Racke, Reinhard; Ueda, Yoshihiro
5
2023
Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations. Zbl 1487.35248
Hu, Yuxi; Racke, Reinhard; Wang, Na
4
2022
Global well-posedness of the Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation. Zbl 1476.35052
Racke, Reinhard; Said-Houari, Belkacem
8
2021
Effects of history and heat models on the stability of thermoelastic Timoshenko systems. Zbl 1467.35052
Jorge Silva, M. A.; Racke, R.
6
2021
Mathematical modeling, forecasting, and optimal control of typhoid fever transmission dynamics. Zbl 1485.93465
Abboubakar, Hamadjam; Racke, Reinhard
2
2021
On exponential stability for thermoelastic plates: comparison and singular limits. Zbl 1470.80004
Muñoz Rivera, J. E.; Racke, R.; Sepúlveda, M.; Villagrán, O. Vera
1
2021
Hyperbolic compressible Navier-Stokes equations. Zbl 1439.35029
Hu, Yuxi; Racke, Reinhard
3
2020
The Cauchy problem for thermoelastic plates with two temperatures. Zbl 1445.35047
Racke, Reinhard; Ueda, Yoshihiro
3
2020
Stability of abstract thermoelastic systems with inertial terms. Zbl 1432.35023
Fernández Sare, Hugo D.; Liu, Zhuangyi; Racke, Reinhard
6
2019
Ill-posedness of coupled systems with delay. Zbl 1423.35430
Fischer, Lisa; Racke, Reinhard
1
2018
Global well-posedness and polynomial decay for a nonlinear Timoshenko-Cattaneo system under minimal Sobolev regularity. Zbl 1403.35051
Mori, Naofumi; Racke, Reinhard
1
2018
Nonlinear thermoelastic plate equations – global existence and decay rates for the Cauchy problem. Zbl 1378.35036
Racke, Reinhard; Ueda, Yoshihiro
16
2017
Transmission problems in (thermo)viscoelasticity with Kelvin-Voigt damping: nonexponential, strong, and polynomial stability. Zbl 1391.35057
Muñoz Rivera, Jaime E.; Racke, Reinhard
13
2017
Compressible Navier-Stokes equations with revised Maxwell’s law. Zbl 1369.35042
Hu, Yuxi; Racke, Reinhard
12
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
4
2017
On (non-)exponential decay in generalized thermoelasticity with two temperatures. Zbl 1375.35044
Leseduarte, M. C.; Quintanilla, R.; Racke, R.
4
2017
Stability for thermoelastic plates with two temperatures. Zbl 1391.35060
Quintanilla, Ramón; Racke, Reinhard
2
2017
Dissipative structures for thermoelastic plate equations in \(\mathbb R^n\). Zbl 1375.35035
Racke, Reinhard; Ueda, Yoshihiro
23
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.
15
2016
Compressible Navier-Stokes equations with hyperbolic heat conduction. Zbl 1398.35171
Hu, Yuxi; Racke, Reinhard
12
2016
Decay estimates for the Cauchy problem for the damped extensible beam equation. Zbl 1347.35042
Racke, Reinhard; Yoshikawa, Shuji
2
2016
Spatial behavior in phase-lag heat conduction. Zbl 1363.35236
Quintanilla, Ramón; Racke, Reinhard
18
2015
Lectures on nonlinear evolution equations. Initial value problems. 2nd edition. Zbl 1329.35006
Racke, Reinhard
16
2015
Strong and mild extrapolated \(L^{2}\)-solutions to the heat equation with constant delay. Zbl 1331.35357
Khusainov, Denys; Pokojovy, Michael; Racke, Reinhard
9
2015
Singular limits in the Cauchy problem for the damped extensible beam equation. Zbl 1331.35239
Racke, Reinhard; Yoshikawa, Shuji
3
2015
Phase-lag heat conduction: decay rates for limit problems and well-posedness. Zbl 1316.35033
Borgmeyer, Karin; Quintanilla, Ramón; Racke, Reinhard
15
2014
Formation of singularities in one-dimensional thermoelasticity with second sound. Zbl 1295.35311
Hu, Yuxi; Racke, Reinhard
9
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
4
2014
Decay rates and global existence for semilinear dissipative Timoshenko systems. Zbl 1278.35021
Racke, Reinhard; Said-Houari, Belkacem
24
2013
Instability of coupled systems with delay. Zbl 1267.35246
Racke, Reinhard
26
2012
Hyperbolic Navier-Stokes equations. II: Global existence of small solutions. Zbl 1371.35223
Racke, Reinhard; Saal, Jürgen
19
2012
Global existence and decay property of the Timoshenko system in thermoelasticity with second sound. Zbl 1254.35217
Racke, Reinhard; Said-Houari, Belkacem
18
2012
Hyperbolic Navier-Stokes equations. I: Local well-posedness. Zbl 1262.35171
Racke, Reinhard; Saal, Jürgen
16
2012
Global attractors for nonlinear beam equations. Zbl 1270.35122
Racke, Reinhard; Shang, Chanyu
10
2012
Evolution equations on non-flat waveguides. Zbl 1256.35160
D’Ancona, Piero; Racke, Reinhard
7
2012
Decay rates for semilinear viscoelastic systems in weighted spaces. Zbl 1258.35032
Racke, Reinhard; Said-Houari, Belkacem
4
2012
Addendum to: “Qualitative aspects of solutions in resonators”. Zbl 1269.74061
Quintanilla, R.; Racke, R.
12
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
10
2010
Low frequency expansion in thermoelasticity with second sound in three dimensions. Zbl 1207.35211
Naito, Yuka; Racke, Reinhard; Shibata, Yoshihiro
1
2010
On the stability of damped Timoshenko systems: Cattaneo versus Fourier law. Zbl 1251.74011
Fernández Sare, Hugo D.; Racke, Reinhard
138
2009
Ill-posed problems in thermomechanics. Zbl 1173.80301
Dreher, Michael; Quintanilla, Ramón; Racke, Reinhard
43
2009
\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
15
2009
Thermoelasticity. Zbl 1192.35179
Racke, Reinhard
13
2009
Timoshenko systems with indefinite damping. Zbl 1139.35023
Muñoz Rivera, Jaime E.; Racke, Reinhard
70
2008
A note on stability in three-phase-lag heat conduction. Zbl 1140.80363
Quintanilla, Ramón; Racke, Reinhard
61
2008
Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050
Racke, Reinhard; Wang, Ya-Guang
16
2008
Qualitative aspects of solutions in resonators. Zbl 1175.74030
Quintanilla, R.; Racke, R.
6
2008
Asymptotic behavior of discontinuous solutions in 3-D thermoelasticity with second sound. Zbl 1171.35334
Racke, Reinhard; Wang, Ya-Guang
4
2008
Exponential stability for wave equations with non-dissipative damping. Zbl 1140.35355
Muñoz Rivera, Jaime E.; Racke, Reinhard
4
2008
Elastic and electro-magnetic waves in infinite waveguides. Zbl 1137.35044
Lesky, Peter H.; Racke, Reinhard
3
2008
Qualitative aspects in dual-phase-lag heat conduction. Zbl 1134.80005
Quintanilla, Ramón; Racke, Reinhard
35
2007
A note on stability in dual-phase-lag heat conduction. Zbl 1189.80025
Quintanilla, Ramón; Racke, Reinhard
70
2006
Qualitative aspects in dual-phase-lag thermoelasticity. Zbl 1096.35082
Quintanilla, Ramón; Racke, Reinhard
45
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
45
2006
\(L^p\)-resolvent estimates and time decay for generalized thermoelastic plate equations. Zbl 1114.35019
Denk, Robert; Racke, Reinhard
20
2006
Mathematical analysis of thermoplasticity with linear kinematic hardening. Zbl 1123.35077
Chełmiński, K.; Racke, R.
11
2006
Sharp decay rates in parabolic and hyperbolic thermoelasticity. Zbl 1115.74017
Irmscher, Tilman; Racke, Reinhard
11
2006
Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound. Zbl 1093.35016
Racke, Reinhard; Wang, Ya-Guang
3
2005
Energy decay for Timoshenko systems of memory type. Zbl 1131.74303
Ammar-Khodja, F.; Benabdallah, A.; Muñoz Rivera, J. E.; Racke, R.
180
2003
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
117
2003
Stability in thermoelasticity of type III. Zbl 1118.74012
Quintanilla, Ramon; Racke, Reinhard
58
2003
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
55
2003
Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound. Zbl 1030.74018
Racke, Reinhard
43
2003
Nonlinear wave equations in infinite waveguides. Zbl 1036.35144
Lesky, Peter H.; Racke, Reinhard
11
2003
Mildly dissipative nonlinear Timoshenko systems – global existence and exponential stability. Zbl 1106.35333
Muñoz Rivera, Jaime E.; Racke, Reinhard
161
2002
Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
Racke, Reinhard
88
2002
Magneto-thermo-elasticity—large-time behavior for linear systems. Zbl 1023.74017
Muñoz Rivera, Jaime E.; Racke, Reinhard
21
2001
Polynomial stability in two-dimensional magneto-elasticity. Zbl 1029.74020
Muñoz Rivera, Jaime E.; Racke, Reinhard
14
2001
Evolution equations in thermoelasticity. Zbl 0968.35003
Jiang, Song; Racke, Reinhard
91
2000
Asymptotic stability and global existence in thermoelasticity with symmetry. Zbl 0952.35144
Jiang, S.; Muñoz Rivera, J. E.; Racke, R.
21
1998
Multidimensional contact problems in thermoelasticity. Zbl 0991.74049
Muñoz Rivera, Jaime E.; Racke, Reinhard
15
1998
Propagation of singularities in one-dimensional thermoelasticity. Zbl 0910.73013
Racke, Reinhard; Wang, Ya-Guang
11
1998
Weakly hyperbolic equations in domains with boundaries. Zbl 0933.34067
D’Ancona, Piero; Racke, Reinhard
2
1998
Global existence and asymptotic behavior in nonlinear thermoviscoelasticity. Zbl 0877.35004
Racke, Reinhard; Zheng, Songmu
21
1997
Asymptotic behavior of damped systems and generalized Fourier transforms. Zbl 0969.35008
Racke, Reinhard
1
1997
Large solutions and smoothing properties for nonlinear thermoelastic systems. Zbl 0852.73018
Muñoz Rivera, Jaime E.; Racke, Reihard
35
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
57
1995
Generalized Fourier transforms and global, small solutions to Kirchhoff equations. Zbl 0832.35097
Racke, Reinhard
7
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.
68
1994
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
24
1993
Exponential decay for a class of initial boundary value problems in thermoelasticity. Zbl 0799.35101
Racke, Reinhard
3
1993
Lectures on nonlinear evolution equations. Initial value problems. Zbl 0811.35002
Racke, Reinhard
81
1992
On the existence of global solutions of nonlinear wave equations. (Zur Existenz globaler Lösungen nichtlinearer Wellengleichungen.) Zbl 0798.35107
Racke, R.
20
1992
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
36
1991
Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains. Zbl 0762.35042
Racke, Reinhard; Zheng, Songmu
1
1991
Decay rates for solutions of damped systems and generalized Fourier transforms. Zbl 0718.35015
Racke, Reinhard
13
1990
Blow-up in nonlinear three-dimensional thermoelasticity. Zbl 0705.35081
Racke, Reinhard
13
1990
Non-homogeneous nonlinear damped wave equations in unbounded domains. Zbl 0728.35071
Racke, Reinhard
12
1990
Global existence of small solutions to the initial value problem for nonlinear thermoelasticity. Zbl 0725.35065
Ponce, Gustavo; Racke, Reinhard
11
1990
On some quasilinear hyperbolic-parabolic initial boundary value problems. Zbl 0706.35098
Jiang, Song; Racke, Reinhard
9
1990
On the Cauchy problem in nonlinear 3-D-thermoelasticity. Zbl 0701.73002
Racke, Reinhard
9
1990
\(L^p-L^q\)-estimates for solutions to the equations of linear thermoelasticity in exterior domains. Zbl 0724.35019
Racke, Reinhard
5
1990
Initial boundary value problems in one-dimensional nonlinear thermoelasticity. Zbl 0654.73011
Racke, Reinhard
12
1988
On the time-asymptotic behaviour of solutions in thermoelasticity. Zbl 0631.73007
Racke, Reinhard
10
1987
On thermoelastic waves. (Über thermoelastische Wellen.) Zbl 0573.73035
Racke, Reinhard
3
1984
all top 5

Cited by 1,034 Authors

74 Quintanilla de Latorre, Ramón
58 Muñoz Rivera, Jaime Edilberto
46 Racke, Reinhard
39 Messaoudi, Salim A.
30 Said-Houari, Belkacem
25 Miranville, Alain M.
24 Mustafa, Muhammad Islam
21 Qin, Yuming
20 Feng, Baowei
20 Fernández, Jose Ramon
19 Aouadi, Moncef
19 Soufyane, Abdelaziz
18 Santos, Mauro Lima
16 Jorge da Silva, Marcio Antonio
15 Kanoria, Mridula
15 Ramos, Anderson J. A.
15 Sur, Abhik
14 Tatar, Nasser-eddine
13 Apalara, Tijani Abdulaziz
13 Copetti, Maria Inês M.
13 Fernández Sare, Hugo D.
13 Liu, Zhuangyi
13 Mukhopadhyay, Santwana
12 Han, Zhongjie
12 Hu, Yuxi
12 Kawashima, Shuichi
12 Liu, Wenjun
12 Pata, Vittorino
12 Ueda, Yoshihiro
12 Vera Villagrán, Octavio Paulo
12 Xu, Gen-Qi
11 Naso, Maria Grazia
11 Raposo, Carlos Alberto
11 Wang, Ya-Guang
10 Alves, Margareth Silva
10 Denk, Robert
10 Hao, Jianghao
10 Mondal, Sudip
10 Pokojovy, Michael
9 Bazarra, Noelia
9 Colli, Pierluigi
9 Fareh, Abdelfeteh
9 Freitas, Mirelson M.
9 Ikehata, Ryo
9 Jiang, Song
9 Lasiecka, Irena
9 Shibata, Yoshihiro
9 Wu, Hao
8 Chen, Wenhui
8 D’Ancona, Piero
8 Dell’Oro, Filippo
8 Djebabla, Abdelhak
8 Grobbelaar-Van Dalsen, Marié
8 Mukiawa, Soh Edwin
8 Nicaise, Serge
8 Ouchenane, Djamel
8 Yagdjian, Karen
7 Afilal, Mounir
7 Almeida Júnior, Dilberto da Silva
7 Conti, Monica C.
7 Enyi, Cyril Dennis
7 Ma, To Fu
7 Ma, Zhiyong
7 Magaña, Antonio
7 Sprekels, Jürgen
7 Straughan, Brian
7 Suzuki, Masahiro
7 Wehbe, Ali
7 Zennir, Khaled
6 Campo, Marco A.
6 Fatori, Luci Harue
6 Gallagher, Isabelle
6 Gilardi, Gianni
6 Kafini, Mohammad Mustafa
6 Leseduarte, Mari Carme
6 Monteiro, Rodrigo Nunes
6 Mori, Naofumi
6 Reissig, Michael
6 Takeda, Hiroshi
6 Weder, Ricardo A.
6 Yoshikawa, Shuji
6 Zampoli, Vittorio
5 Alabau-Boussouira, Fatiha
5 Benaissa, Abbes
5 Campelo, A. D. S.
5 Cherfils, Laurence
5 Chiriţă, Stan
5 Choucha, Abdelbaki
5 Cui, Xia
5 Fukao, Takeshi
5 Gatti, Stefania
5 Guesmia, Aissa A.
5 Gupta, Manushi
5 Khemmoudj, Ammar
5 Lazzari, Barbara
5 Milani, Albert J.
5 Mucha, Piotr Bogusław
5 Portillo Oquendo, Higidio
5 Rendall, Alan D.
5 Xiao, Ti-Jun
...and 934 more Authors
all top 5

Cited in 238 Serials

98 Journal of Mathematical Analysis and Applications
73 Journal of Differential Equations
64 ZAMP. Zeitschrift für angewandte Mathematik und Physik
49 Applicable Analysis
49 Mathematical Methods in the Applied Sciences
41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Nonlinear Analysis. Real World Applications
24 Applied Mathematics and Optimization
21 Applied Mathematics Letters
21 Waves in Random and Complex Media
18 Applied Mathematics and Computation
17 Communications on Pure and Applied Analysis
15 Journal of Mathematical Physics
15 Mathematics and Mechanics of Solids
14 Quarterly of Applied Mathematics
14 Asymptotic Analysis
14 SIAM Journal on Mathematical Analysis
13 Acta Mechanica
13 Journal of Computational and Applied Mathematics
13 Communications in Partial Differential Equations
13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
12 Journal of Evolution Equations
11 Journal of Mathematical Fluid Mechanics
11 Discrete and Continuous Dynamical Systems. Series B
10 Acta Applicandae Mathematicae
9 Mathematische Nachrichten
9 Journal of Hyperbolic Differential Equations
9 Discrete and Continuous Dynamical Systems. Series S
9 Evolution Equations and Control Theory
8 Archive for Rational Mechanics and Analysis
8 Zeitschrift für Analysis und ihre Anwendungen
8 Discrete and Continuous Dynamical Systems
8 Nonlinear Analysis. Theory, Methods & Applications
8 AIMS Mathematics
7 Chinese Annals of Mathematics. Series B
7 Journal of Elasticity
7 NoDEA. Nonlinear Differential Equations and Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 International Journal of Engineering Science
6 Meccanica
6 Applications of Mathematics
6 Applied Mathematical Modelling
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Functional Analysis
5 Transactions of the American Mathematical Society
5 Mathematical and Computer Modelling
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Electronic Journal of Differential Equations (EJDE)
5 Computational and Applied Mathematics
5 Boundary Value Problems
4 Communications in Mathematical Physics
4 International Journal of Heat and Mass Transfer
4 Advances in Mathematics
4 Mechanics Research Communications
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Physica D
4 Applied Numerical Mathematics
4 Journal of Integral Equations and Applications
4 European Journal of Applied Mathematics
4 International Journal of Computer Mathematics
4 Journal of Dynamics and Differential Equations
4 Abstract and Applied Analysis
4 Journal of Dynamical and Control Systems
4 Living Reviews in Relativity
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Mediterranean Journal of Mathematics
4 Advances in Difference Equations
4 Electronic Research Archive
3 International Journal of Control
3 Chaos, Solitons and Fractals
3 Integral Equations and Operator Theory
3 Journal of the Mathematical Society of Japan
3 Osaka Journal of Mathematics
3 Annals of Physics
3 Archive of Applied Mechanics
3 Journal of Nonlinear Science
3 Taiwanese Journal of Mathematics
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 International Journal of Differential Equations
3 Arabian Journal of Mathematics
3 Journal of Applied Analysis and Computation
3 Journal of Function Spaces
3 International Journal of Applied and Computational Mathematics
2 Archives of Mechanics
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Journal d’Analyse Mathématique
2 Journal of Engineering Mathematics
2 Rocky Mountain Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Ricerche di Matematica
...and 138 more Serials

Citations by Year