## Ikehata, Ryo

Compute Distance To:
 Author ID: ikehata.ryo Published as: Ikehata, Ryo; Ikehata, R.
 Documents Indexed: 88 Publications since 1988 Co-Authors: 35 Co-Authors with 58 Joint Publications 334 Co-Co-Authors
all top 5

### Co-Authors

 30 single-authored 16 Charão, Ruy Coimbra 6 Matsuyama, Tokio 5 Takeda, Hiroshi 4 da Luz, Cleverson Roberto 3 D’Abbicco, Marcello 3 Michihisa, Hironori 3 Nishihara, Kenji 3 Piske, Alessandra 3 Suzuki, Takashi 3 Todorova, Grozdena Hr. 3 Yordanov, Borislav T. 2 Fukushima, Tomonori 2 Inoue, Yu-ki 2 Okazawa, Noboru 1 Aikawa, Shintaro 1 Chen, Wenhui 1 Espinoza, Juan Torres 1 Horbach, Jaqueline Luiza 1 Ishiwata, Michinori 1 Iyota, Shin 1 Kitazaki, Shingo 1 Kobayashi, T. 1 Komatsu, Takeshi 1 Miyaoka, Yasuaki 1 Nakao, Mitsuhiro 1 Nakatake, Takashi 1 Natsume, Masato 1 Ohta, Masahito 1 Onodera, Michiaki 1 Saeki, Akinobu 1 Sawada, Atsushi 1 Sobukawa, Genta 1 Soga, Marina 1 Tanizawa, Kensuke 1 Zhao, Huijiang
all top 5

### Serials

 13 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 7 Mathematical Methods in the Applied Sciences 7 Funkcialaj Ekvacioj. Serio Internacia 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Differential and Integral Equations 5 Asymptotic Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Hiroshima Mathematical Journal 2 Hokkaido Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 RIMS Kokyuroku 2 International Journal of Pure and Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Journal of Hyperbolic Differential Equations 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematica Japonica 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 TRU Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Dynamics and Differential Equations 1 SUT Journal of Mathematics 1 Proceedings of the School of Science of Tokai University 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Evolution Equations 1 Scientiae Mathematicae Japonicae 1 Azerbaijan Journal of Mathematics 1 Evolution Equations and Control Theory
all top 5

### Fields

 88 Partial differential equations (35-XX) 9 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

76 Publications have been cited 1,111 times in 487 Documents Cited by Year
Global existence of solutions for semilinear damped wave equations in $$\mathbb R^N$$ with noncompactly supported initial data. Zbl 1073.35171
Ikehata, Ryo; Tanizawa, Kensuke
2005
On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms. Zbl 0962.35025
Matsuyama, Tokio; Ikehata, Ryo
1996
Decay estimates of solutions for dissipative wave equations in $$\mathbb R^N$$ with lower power nonlinearities. Zbl 1056.35120
Ikehata, Ryo; Miyaoka, Yasuaki; Nakatake, Takashi
2004
Some remarks on the wave equations with nonlinear damping and source terms. Zbl 0866.35071
Ikehata, Ryo
1996
Wave equations with strong damping in Hilbert spaces. Zbl 1272.35157
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
2013
Asymptotic profiles for wave equations with strong damping. Zbl 1297.35039
Ikehata, Ryo
2014
New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135
Ikehata, Ryo
2004
Stable and unstable sets for evolution of parabolic and hyperbolic type. Zbl 0873.35010
Ikehata, Ryo; Suzuki, Takashi
1996
Critical exponents for semilinear dissipative wave equations in $${\mathbb{R}}^N$$. Zbl 1006.35009
Ikehata, Ryo; Ohta, Masahito
2002
Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space. Zbl 1306.35067
Charão, Ruy Coimbra; da Luz, Cleverson Roberto; Ikehata, Ryo
2013
Diffusion phenomenon for second order linear evolution equations. Zbl 1029.35186
Ikehata, Ryo; Nishihara, Kenji
2003
Energy decay estimates for wave equations with a fractional damping. Zbl 1274.35216
Ikehata, Ryo; Natsume, Masato
2012
Critical exponent for semilinear wave equations with space-dependent potential. Zbl 1191.35183
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
2009
Diffusion phenomenon for linear dissipative wave equations in an exterior domain. Zbl 1017.35059
Ikehata, Ryo
2002
Optimal decay rate of the energy for wave equations with critical potential. Zbl 1267.35034
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
2013
Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption. Zbl 1116.35094
Ikehata, Ryo; Nishihara, Kenji; Zhao, Huijiang
2006
A note on the global solvability of solutions to some nonlinear wave equations with dissipative terms. Zbl 0812.35081
Ikehata, Ryo
1995
Remarks on large time behavior of the $$L^2$$-norm of solutions to strongly damped wave equations. Zbl 1424.35246
Ikehata, Ryo; Onodera, Michiaki
2017
Energy decay of solutions for the semilinear dissipative wave equations in an exterior domain. Zbl 1145.35434
Ikehata, Ryo
2001
Asymptotic profiles of solutions for structural damped wave equations. Zbl 1437.35443
Ikehata, Ryo; Takeda, Hiroshi
2019
Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains. Zbl 0983.35022
Ikehata, Ryo
2001
Asymptotic behavior for abstract evolution differential equations of second order. Zbl 1326.35046
da Luz, Cleverson Roberto; Ikehata, Ryo; Charão, Ruy Coimbra
2015
On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms. Zbl 0765.35030
Ikehata, Ryo
1991
Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain. Zbl 1128.35073
Ikehata, Ryo; Inoue, Yu-ki
2008
Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions. Zbl 1016.35005
Ikehata, Ryo; Suzuki, Takashi
2000
Yosida approximation and nonlinear hyperbolic equation. Zbl 0715.35050
Ikehata, Ryo; Okazawa, Noboru
1990
Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms. Zbl 1344.35143
2016
New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052
Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo
2013
Some remarks on the wave equation with potential type damping coefficients. Zbl 1163.35427
Ikehata, Ryo
2005
Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1353.35051
Ikehata, Ryo; Takeda, Hiroshi
2017
Optimal decay rates and asymptotic profile for the plate equation with structural damping. Zbl 1339.35043
Horbach, Jaqueline Luiza; Ikehata, Ryo; Coimbra Charão, Ruy
2016
Total energy decay for semilinear wave equations with a critical potential type of damping. Zbl 1149.35010
Ikehata, Ryo; Inoue, Yu-Ki
2008
Small data global existence of solutions for dissipative wave equations in an exterior domain. Zbl 1140.35504
Ikehata, Ryo
2002
On the existence of global solutions for some nonlinear hyperbolic equations with Neumann conditions. Zbl 0707.35094
Ikehata, Ryo
1988
Asymptotic profiles for a strongly damped plate equation with lower order perturbation. Zbl 1320.35072
Ikehata, Ryo; Soga, Marina
2015
Decay estimates by moments and masses of initial data for linear damped wave equations. Zbl 1033.35069
Ikehata, Ryo
2003
Asymptotic profile of solutions for some wave equations with very strong structural damping. Zbl 1403.35047
Ikehata, Ryo; Iyota, Shin
2018
Critical exponent for semilinear damped wave equations in the $$N$$-dimensional half space. Zbl 1061.35052
Ikehata, Ryo
2003
A class of second order quasilinear evolution equations. Zbl 0810.34057
Ikehata, Ryo; Okazawa, Noboru
1994
$$L^2$$-behavior of solutions to the linear heat and wave equations in exterior domains. Zbl 1005.35020
Ikehata, Ryo; Matsuyama, Tokio
2001
Two dimensional exterior mixed problem for semilinear damped wave equations. Zbl 1063.35118
Ikehata, Ryo
2005
A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. Zbl 1036.35143
Ikehata, Ryo
2003
Global solutions to the initial-boundary value problem for the quasilinear visco-elastic wave equation with a perturbation. Zbl 0891.35105
Ikehata, Ryo; Matsuyama, Tokio; Nakao, Mitsuhiro
1997
Improved decay rates for solutions to one-dimensional linear and semilinear dissipative wave equations in all space. Zbl 1014.35008
Ikehata, Ryo
2003
Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms. Zbl 1443.35155
Ikehata, Ryo; Michihisa, Hironori
2019
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case. Zbl 1466.35259
Chen, Wenhui; Ikehata, Ryo
2021
Optimal decay rates for the system of elastic waves in $$\mathbb R^n$$ with structural damping. Zbl 1295.35093
Ikehata, Ryo; Charão, Ruy Coimbra; Da Luz, Cleverson Roberto
2014
Remarks on the decay rate for the energy of the dissipative linear wave equations in exterior domains. Zbl 1158.35327
Saeki, Akinobu; Ikehata, Ryo
2000
Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity. Zbl 1117.35008
Charão, Ruy C.; Ikehata, Ryo
2007
Global existence of solutions for semilinear damped wave equation in 2-D exterior domain. Zbl 1053.35105
Ikehata, Ryo
2004
Energy decay rates of elastic waves in unbounded domain with potential type of damping. Zbl 1218.35036
Charão, Ruy C.; Ikehata, Ryo
2011
Semilinear parabolic equation in $$R^N$$ associated with critical Sobolev exponent. Zbl 1192.35099
Ikehata, Ryo; Ishiwata, Michinori; Suzuki, Takashi
2010
Local energy decay for linear wave equations with non-compactly supported initial data. Zbl 1058.35140
Ikehata, Ryo
2004
Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space. Zbl 1304.35396
Ikehata, Ryo
2015
Local energy decay for linear wave equations with variable coefficients. Zbl 1072.35112
Ikehata, Ryo
2005
Large time behavior of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1437.35074
Ikehata, Ryo; Takeda, Hiroshi
2019
Thresholds for low regularity solutions to wave equations with structural damping. Zbl 1458.35054
Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori
2021
Global existence of solutions for 2D semilinear wave equations with dissipation localized near infinity in an exterior domain. Zbl 1092.35064
Ikehata, Ryo
2006
A second order fractional differential equation under effects of a super damping. Zbl 1460.35370
Charão, Ruy Coimbra; Espinoza, Juan Torres; Ikehata, Ryo
2020
Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping. Zbl 1447.35051
Charão, Ruy Coimbra; Ikehata, Ryo
2020
Local energy decay for wave equations with initial data decaying slowly near infinity. Zbl 1092.35055
Ikehata, Ryo; Nishihara, Kenji
2005
$$L^2$$-convergence results for linear dissipative wave equations in unbounded domains. Zbl 1061.35045
Ikehata, Ryo
2003
Remark on the $$L_2$$ estimates of the density for the compressible Navier-Stokes flow in $$\mathbf R^3$$. Zbl 1042.76549
Ikehata, R.; Kobayashi, T.; Matsuyama, T.
2001
The Palais-Smale condition for the energy of some semilinear parabolic equations. Zbl 0953.35067
Ikehata, Ryo
2000
Asymptotic profile of solutions for strongly damped Klein-Gordon equations. Zbl 1416.35151
D’Abbicco, Marcello; Ikehata, Ryo
2019
Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity. Zbl 1135.35018
Ikehata, Ryo; Sobukawa, Genta
2007
Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping. Zbl 1479.35089
Charão, Ruy Coimbra; D’Abbicco, Marcello; Ikehata, Ryo
2021
Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017
Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori
2020
Energy decay for the wave equations of Kirchhoff type with linear damping terms. Zbl 0965.35097
Matsuyama, Tokio; Ikehata, Ryo
1997
Local energy decay for linear wave equations with localized dissipation. Zbl 1387.35395
Ikehata, Ryo
2005
A note on decay rates of the local energy for wave equations with Lipschitz wavespeeds. Zbl 1461.35047
Charão, Ruy Coimbra; Ikehata, Ryo
2020
Critical exponent for semi-linear wave equations with double damping terms in exterior domains. Zbl 1435.35251
D’Abbicco, Marcello; Ikehata, Ryo; Takeda, Hiroshi
2019
A dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimates. Zbl 1475.35042
Coimbra Charão, Ruy; Piske, Alessandra; Ikehata, Ryo
2022
A note on optimal $$L^2$$-estimates of solutions to some strongly damped $$\sigma$$-evolution equations. Zbl 1477.35259
Ikehata, Ryo
2021
Remarks on the behavior of solutions to the linear wave equations in unbounded domains. Zbl 0990.35089
Ikehata, Ryo; Matsuyama, Tokio
2001
Fast energy decay for wave equations with a localized damping in the $$n$$-D half space. Zbl 1379.35025
Ikehata, Ryo
2017
A dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimates. Zbl 1475.35042
Coimbra Charão, Ruy; Piske, Alessandra; Ikehata, Ryo
2022
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case. Zbl 1466.35259
Chen, Wenhui; Ikehata, Ryo
2021
Thresholds for low regularity solutions to wave equations with structural damping. Zbl 1458.35054
Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori
2021
Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping. Zbl 1479.35089
Charão, Ruy Coimbra; D&rsquo;Abbicco, Marcello; Ikehata, Ryo
2021
A note on optimal $$L^2$$-estimates of solutions to some strongly damped $$\sigma$$-evolution equations. Zbl 1477.35259
Ikehata, Ryo
2021
A second order fractional differential equation under effects of a super damping. Zbl 1460.35370
Charão, Ruy Coimbra; Espinoza, Juan Torres; Ikehata, Ryo
2020
Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping. Zbl 1447.35051
Charão, Ruy Coimbra; Ikehata, Ryo
2020
Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017
Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori
2020
A note on decay rates of the local energy for wave equations with Lipschitz wavespeeds. Zbl 1461.35047
Charão, Ruy Coimbra; Ikehata, Ryo
2020
Asymptotic profiles of solutions for structural damped wave equations. Zbl 1437.35443
Ikehata, Ryo; Takeda, Hiroshi
2019
Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms. Zbl 1443.35155
Ikehata, Ryo; Michihisa, Hironori
2019
Large time behavior of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1437.35074
Ikehata, Ryo; Takeda, Hiroshi
2019
Asymptotic profile of solutions for strongly damped Klein-Gordon equations. Zbl 1416.35151
D&rsquo;Abbicco, Marcello; Ikehata, Ryo
2019
Critical exponent for semi-linear wave equations with double damping terms in exterior domains. Zbl 1435.35251
D&rsquo;Abbicco, Marcello; Ikehata, Ryo; Takeda, Hiroshi
2019
Asymptotic profile of solutions for some wave equations with very strong structural damping. Zbl 1403.35047
Ikehata, Ryo; Iyota, Shin
2018
Remarks on large time behavior of the $$L^2$$-norm of solutions to strongly damped wave equations. Zbl 1424.35246
Ikehata, Ryo; Onodera, Michiaki
2017
Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1353.35051
Ikehata, Ryo; Takeda, Hiroshi
2017
Fast energy decay for wave equations with a localized damping in the $$n$$-D half space. Zbl 1379.35025
Ikehata, Ryo
2017
Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms. Zbl 1344.35143
2016
Optimal decay rates and asymptotic profile for the plate equation with structural damping. Zbl 1339.35043
Horbach, Jaqueline Luiza; Ikehata, Ryo; Coimbra Charão, Ruy
2016
Asymptotic behavior for abstract evolution differential equations of second order. Zbl 1326.35046
da Luz, Cleverson Roberto; Ikehata, Ryo; Charão, Ruy Coimbra
2015
Asymptotic profiles for a strongly damped plate equation with lower order perturbation. Zbl 1320.35072
Ikehata, Ryo; Soga, Marina
2015
Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space. Zbl 1304.35396
Ikehata, Ryo
2015
Asymptotic profiles for wave equations with strong damping. Zbl 1297.35039
Ikehata, Ryo
2014
Optimal decay rates for the system of elastic waves in $$\mathbb R^n$$ with structural damping. Zbl 1295.35093
Ikehata, Ryo; Charão, Ruy Coimbra; Da Luz, Cleverson Roberto
2014
Wave equations with strong damping in Hilbert spaces. Zbl 1272.35157
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
2013
Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space. Zbl 1306.35067
Charão, Ruy Coimbra; da Luz, Cleverson Roberto; Ikehata, Ryo
2013
Optimal decay rate of the energy for wave equations with critical potential. Zbl 1267.35034
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
2013
New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052
Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo
2013
Energy decay estimates for wave equations with a fractional damping. Zbl 1274.35216
Ikehata, Ryo; Natsume, Masato
2012
Energy decay rates of elastic waves in unbounded domain with potential type of damping. Zbl 1218.35036
Charão, Ruy C.; Ikehata, Ryo
2011
Semilinear parabolic equation in $$R^N$$ associated with critical Sobolev exponent. Zbl 1192.35099
Ikehata, Ryo; Ishiwata, Michinori; Suzuki, Takashi
2010
Critical exponent for semilinear wave equations with space-dependent potential. Zbl 1191.35183
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
2009
Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain. Zbl 1128.35073
Ikehata, Ryo; Inoue, Yu-ki
2008
Total energy decay for semilinear wave equations with a critical potential type of damping. Zbl 1149.35010
Ikehata, Ryo; Inoue, Yu-Ki
2008
Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity. Zbl 1117.35008
Charão, Ruy C.; Ikehata, Ryo
2007
Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity. Zbl 1135.35018
Ikehata, Ryo; Sobukawa, Genta
2007
Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption. Zbl 1116.35094
Ikehata, Ryo; Nishihara, Kenji; Zhao, Huijiang
2006
Global existence of solutions for 2D semilinear wave equations with dissipation localized near infinity in an exterior domain. Zbl 1092.35064
Ikehata, Ryo
2006
Global existence of solutions for semilinear damped wave equations in $$\mathbb R^N$$ with noncompactly supported initial data. Zbl 1073.35171
Ikehata, Ryo; Tanizawa, Kensuke
2005
Some remarks on the wave equation with potential type damping coefficients. Zbl 1163.35427
Ikehata, Ryo
2005
Two dimensional exterior mixed problem for semilinear damped wave equations. Zbl 1063.35118
Ikehata, Ryo
2005
Local energy decay for linear wave equations with variable coefficients. Zbl 1072.35112
Ikehata, Ryo
2005
Local energy decay for wave equations with initial data decaying slowly near infinity. Zbl 1092.35055
Ikehata, Ryo; Nishihara, Kenji
2005
Local energy decay for linear wave equations with localized dissipation. Zbl 1387.35395
Ikehata, Ryo
2005
Decay estimates of solutions for dissipative wave equations in $$\mathbb R^N$$ with lower power nonlinearities. Zbl 1056.35120
Ikehata, Ryo; Miyaoka, Yasuaki; Nakatake, Takashi
2004
New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135
Ikehata, Ryo
2004
Global existence of solutions for semilinear damped wave equation in 2-D exterior domain. Zbl 1053.35105
Ikehata, Ryo
2004
Local energy decay for linear wave equations with non-compactly supported initial data. Zbl 1058.35140
Ikehata, Ryo
2004
Diffusion phenomenon for second order linear evolution equations. Zbl 1029.35186
Ikehata, Ryo; Nishihara, Kenji
2003
Decay estimates by moments and masses of initial data for linear damped wave equations. Zbl 1033.35069
Ikehata, Ryo
2003
Critical exponent for semilinear damped wave equations in the $$N$$-dimensional half space. Zbl 1061.35052
Ikehata, Ryo
2003
A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. Zbl 1036.35143
Ikehata, Ryo
2003
Improved decay rates for solutions to one-dimensional linear and semilinear dissipative wave equations in all space. Zbl 1014.35008
Ikehata, Ryo
2003
$$L^2$$-convergence results for linear dissipative wave equations in unbounded domains. Zbl 1061.35045
Ikehata, Ryo
2003
Critical exponents for semilinear dissipative wave equations in $${\mathbb{R}}^N$$. Zbl 1006.35009
Ikehata, Ryo; Ohta, Masahito
2002
Diffusion phenomenon for linear dissipative wave equations in an exterior domain. Zbl 1017.35059
Ikehata, Ryo
2002
Small data global existence of solutions for dissipative wave equations in an exterior domain. Zbl 1140.35504
Ikehata, Ryo
2002
Energy decay of solutions for the semilinear dissipative wave equations in an exterior domain. Zbl 1145.35434
Ikehata, Ryo
2001
Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains. Zbl 0983.35022
Ikehata, Ryo
2001
$$L^2$$-behavior of solutions to the linear heat and wave equations in exterior domains. Zbl 1005.35020
Ikehata, Ryo; Matsuyama, Tokio
2001
Remark on the $$L_2$$ estimates of the density for the compressible Navier-Stokes flow in $$\mathbf R^3$$. Zbl 1042.76549
Ikehata, R.; Kobayashi, T.; Matsuyama, T.
2001
Remarks on the behavior of solutions to the linear wave equations in unbounded domains. Zbl 0990.35089
Ikehata, Ryo; Matsuyama, Tokio
2001
Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions. Zbl 1016.35005
Ikehata, Ryo; Suzuki, Takashi
2000
Remarks on the decay rate for the energy of the dissipative linear wave equations in exterior domains. Zbl 1158.35327
Saeki, Akinobu; Ikehata, Ryo
2000
The Palais-Smale condition for the energy of some semilinear parabolic equations. Zbl 0953.35067
Ikehata, Ryo
2000
Global solutions to the initial-boundary value problem for the quasilinear visco-elastic wave equation with a perturbation. Zbl 0891.35105
Ikehata, Ryo; Matsuyama, Tokio; Nakao, Mitsuhiro
1997
Energy decay for the wave equations of Kirchhoff type with linear damping terms. Zbl 0965.35097
Matsuyama, Tokio; Ikehata, Ryo
1997
On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms. Zbl 0962.35025
Matsuyama, Tokio; Ikehata, Ryo
1996
Some remarks on the wave equations with nonlinear damping and source terms. Zbl 0866.35071
Ikehata, Ryo
1996
Stable and unstable sets for evolution of parabolic and hyperbolic type. Zbl 0873.35010
Ikehata, Ryo; Suzuki, Takashi
1996
A note on the global solvability of solutions to some nonlinear wave equations with dissipative terms. Zbl 0812.35081
Ikehata, Ryo
1995
A class of second order quasilinear evolution equations. Zbl 0810.34057
Ikehata, Ryo; Okazawa, Noboru
1994
On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms. Zbl 0765.35030
Ikehata, Ryo
1991
Yosida approximation and nonlinear hyperbolic equation. Zbl 0715.35050
Ikehata, Ryo; Okazawa, Noboru
1990
On the existence of global solutions for some nonlinear hyperbolic equations with Neumann conditions. Zbl 0707.35094
Ikehata, Ryo
1988
all top 5

### Cited by 458 Authors

 40 Ikehata, Ryo 27 D’Abbicco, Marcello 18 Said-Houari, Belkacem 18 Wakasugi, Yuta 16 Nishihara, Kenji 15 Charão, Ruy Coimbra 15 Takeda, Hiroshi 12 Ebert, Marcelo Rempel 12 Xu, Runzhang 10 da Luz, Cleverson Roberto 10 Ikeda, Masahiro 10 Park, Jong Yeoul 10 Sobajima, Motohiro 10 Yang, Zhijian 9 Aliev, Akbar B. 9 Reissig, Michael 9 Todorova, Grozdena Hr. 9 Wang, Yuzhu 8 Bae, Jeong Ja 8 Chen, Wenhui 8 Messaoudi, Salim A. 7 Liu, Yacheng 7 Palmieri, Alessandro 6 Liu, Wenjun 6 Tatar, Nasser-eddine 5 Esquivel-Avila, Jorge Alfredo 5 Fino, Ahmad Z. 5 Ghisi, Marina 5 Girardi, Giovanni 5 Ishiwata, Michinori 5 Jleli, Mohamed Boussairi 5 Kazimov, Anar A. 5 Li, Gang 5 Liu, Yan 5 Michihisa, Hironori 5 Samet, Bessem 5 Yamazaki, Taeko 5 Yordanov, Borislav T. 4 Dao, Tuan Anh 4 Di, Huafei 4 Ding, Pengyan 4 Gobbino, Massimo 4 Liu, Baiyu 4 Liu, Gongwei 4 Ogawa, Takayoshi 4 Park, SunHye 4 Racke, Reinhard 4 Zhai, Jian 4 Zhang, Hongwei 4 Zhou, Jun 3 Aloui, Lassaad 3 Boumaza, Nouri 3 Cavalcanti, Marcelo Moreira 3 Domingos Cavalcanti, Valéria Neves 3 Fan, Dashan 3 Gheraibia, Billel 3 Han, Yuzhu 3 Haraux, Alain 3 Hayashi, Nakao 3 Hong, Linghui 3 Hu, Qingying 3 Huang, Wenyi 3 Jung, Il Hyo 3 Kafini, Mohammad Mustafa 3 Kaikina, Elena Igorevna 3 Lin, Jiayun 3 Ma, Honglv 3 Naumkin, Pavel Ivanovich 3 Ono, Kosuke 3 Pan, Ning 3 Peyravi, Amir 3 Piske, Alessandra 3 Radu, Petronela 3 Royer, Julien 3 Shang, Yadong 3 Shi, Jincheng 3 Suzuki, Takashi 3 Tanaka, Naoki 3 Wang, Mingxin 3 Wang, Xingchang 3 Wu, Shuntang 3 Wu, Yonghong 3 Yang, Han 3 Ye, Yaojun 3 Zhang, Binlin 3 Zhang, Chunjie 3 Zhao, Huijiang 2 Achouri, Talha 2 Algharabli, Mohammad M. 2 Arawomo, Peter Olutola 2 Băleanu, Dumitru I. 2 Barrera, Joseph 2 Benaissa, Abbes 2 Berbiche, Mohamed 2 Chen, Si 2 Chernov, Andreĭ Vladimirovich 2 Daoulatli, Moez 2 Dridi, Hanni 2 Du, Linglong 2 Fukushima, Tomonori ...and 358 more Authors
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### Cited in 114 Serials

 71 Journal of Mathematical Analysis and Applications 51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Journal of Differential Equations 16 Applicable Analysis 15 NoDEA. Nonlinear Differential Equations and Applications 14 Communications on Pure and Applied Analysis 13 Mathematical Methods in the Applied Sciences 11 Boundary Value Problems 9 Nonlinear Analysis. Real World Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Hyperbolic Differential Equations 7 Computers & Mathematics with Applications 7 Applied Mathematics and Computation 7 Discrete and Continuous Dynamical Systems 7 Journal of Evolution Equations 7 Nonlinear Analysis. Theory, Methods & Applications 6 Asymptotic Analysis 6 Evolution Equations and Control Theory 5 Journal of Mathematical Physics 5 Applied Mathematics and Optimization 5 Transactions of the American Mathematical Society 5 Abstract and Applied Analysis 4 Journal of the Mathematical Society of Japan 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics Letters 4 Mediterranean Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Acta Mathematicae Applicatae Sinica. English Series 3 Differential Equations 3 Journal of Function Spaces 3 Electronic Research Archive 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Opuscula Mathematica 2 The Journal of Fourier Analysis and Applications 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Contemporary Mathematics 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Function Spaces and Applications 2 Advances in Difference Equations 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Pseudo-Differential Operators and Applications 2 Mathematical Sciences 2 Advances in Nonlinear Analysis 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Demonstratio Mathematica 1 Hokkaido Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tokyo Journal of Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Methods for Partial Differential Equations 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Journal of Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Novi Sad Journal of Mathematics 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Journal of the Australian Mathematical Society ...and 14 more Serials
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### Cited in 22 Fields

 475 Partial differential equations (35-XX) 58 Mechanics of deformable solids (74-XX) 21 Operator theory (47-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Ordinary differential equations (34-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Numerical analysis (65-XX) 12 Systems theory; control (93-XX) 11 Integral equations (45-XX) 8 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Fluid mechanics (76-XX) 4 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)