Edit Profile (opens in new tab) Ikehata, Ryo Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1073.35171Ikehata, Ryo; Tanizawa, Kensuke 73 2005 On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms. Zbl 0962.35025Matsuyama, Tokio; Ikehata, Ryo 67 1996 Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities. Zbl 1056.35120Ikehata, Ryo; Miyaoka, Yasuaki; Nakatake, Takashi 65 2004 Some remarks on the wave equations with nonlinear damping and source terms. Zbl 0866.35071Ikehata, Ryo 63 1996 Wave equations with strong damping in Hilbert spaces. Zbl 1272.35157Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 60 2013 Asymptotic profiles for wave equations with strong damping. Zbl 1297.35039Ikehata, Ryo 49 2014 New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135Ikehata, Ryo 48 2004 Stable and unstable sets for evolution of parabolic and hyperbolic type. Zbl 0873.35010Ikehata, Ryo; Suzuki, Takashi 46 1996 Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\). Zbl 1006.35009Ikehata, Ryo; Ohta, Masahito 41 2002 Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space. Zbl 1306.35067Charão, Ruy Coimbra; da Luz, Cleverson Roberto; Ikehata, Ryo 31 2013 Diffusion phenomenon for second order linear evolution equations. Zbl 1029.35186Ikehata, Ryo; Nishihara, Kenji 30 2003 Energy decay estimates for wave equations with a fractional damping. Zbl 1274.35216Ikehata, Ryo; Natsume, Masato 29 2012 Critical exponent for semilinear wave equations with space-dependent potential. Zbl 1191.35183Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 27 2009 Diffusion phenomenon for linear dissipative wave equations in an exterior domain. Zbl 1017.35059Ikehata, Ryo 26 2002 Optimal decay rate of the energy for wave equations with critical potential. Zbl 1267.35034Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 24 2013 Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption. Zbl 1116.35094Ikehata, Ryo; Nishihara, Kenji; Zhao, Huijiang 22 2006 A note on the global solvability of solutions to some nonlinear wave equations with dissipative terms. Zbl 0812.35081Ikehata, Ryo 18 1995 Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations. Zbl 1424.35246Ikehata, Ryo; Onodera, Michiaki 15 2017 Energy decay of solutions for the semilinear dissipative wave equations in an exterior domain. Zbl 1145.35434Ikehata, Ryo 15 2001 Asymptotic profiles of solutions for structural damped wave equations. Zbl 1437.35443Ikehata, Ryo; Takeda, Hiroshi 15 2019 Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains. Zbl 0983.35022Ikehata, Ryo 15 2001 Asymptotic behavior for abstract evolution differential equations of second order. Zbl 1326.35046da Luz, Cleverson Roberto; Ikehata, Ryo; Charão, Ruy Coimbra 14 2015 On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms. Zbl 0765.35030Ikehata, Ryo 13 1991 Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain. Zbl 1128.35073Ikehata, Ryo; Inoue, Yu-ki 13 2008 Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions. Zbl 1016.35005Ikehata, Ryo; Suzuki, Takashi 12 2000 Yosida approximation and nonlinear hyperbolic equation. Zbl 0715.35050Ikehata, Ryo; Okazawa, Noboru 12 1990 Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms. Zbl 1344.35143Ikehata, Ryo; Sawada, Atsushi 12 2016 New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo 12 2013 Some remarks on the wave equation with potential type damping coefficients. Zbl 1163.35427Ikehata, Ryo 11 2005 Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1353.35051Ikehata, Ryo; Takeda, Hiroshi 11 2017 Optimal decay rates and asymptotic profile for the plate equation with structural damping. Zbl 1339.35043Horbach, Jaqueline Luiza; Ikehata, Ryo; Coimbra Charão, Ruy 11 2016 Total energy decay for semilinear wave equations with a critical potential type of damping. Zbl 1149.35010Ikehata, Ryo; Inoue, Yu-Ki 9 2008 Small data global existence of solutions for dissipative wave equations in an exterior domain. Zbl 1140.35504Ikehata, Ryo 9 2002 On the existence of global solutions for some nonlinear hyperbolic equations with Neumann conditions. Zbl 0707.35094Ikehata, Ryo 9 1988 Asymptotic profiles for a strongly damped plate equation with lower order perturbation. Zbl 1320.35072Ikehata, Ryo; Soga, Marina 9 2015 Decay estimates by moments and masses of initial data for linear damped wave equations. Zbl 1033.35069Ikehata, Ryo 9 2003 Asymptotic profile of solutions for some wave equations with very strong structural damping. Zbl 1403.35047Ikehata, Ryo; Iyota, Shin 9 2018 Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space. Zbl 1061.35052Ikehata, Ryo 8 2003 A class of second order quasilinear evolution equations. Zbl 0810.34057Ikehata, Ryo; Okazawa, Noboru 8 1994 \(L^2\)-behavior of solutions to the linear heat and wave equations in exterior domains. Zbl 1005.35020Ikehata, Ryo; Matsuyama, Tokio 8 2001 Two dimensional exterior mixed problem for semilinear damped wave equations. Zbl 1063.35118Ikehata, Ryo 8 2005 A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. Zbl 1036.35143Ikehata, Ryo 7 2003 Global solutions to the initial-boundary value problem for the quasilinear visco-elastic wave equation with a perturbation. Zbl 0891.35105Ikehata, Ryo; Matsuyama, Tokio; Nakao, Mitsuhiro 7 1997 Improved decay rates for solutions to one-dimensional linear and semilinear dissipative wave equations in all space. Zbl 1014.35008Ikehata, Ryo 7 2003 Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms. Zbl 1443.35155Ikehata, Ryo; Michihisa, Hironori 7 2019 The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case. Zbl 1466.35259Chen, Wenhui; Ikehata, Ryo 7 2021 Optimal decay rates for the system of elastic waves in \(\mathbb R^n\) with structural damping. Zbl 1295.35093Ikehata, Ryo; Charão, Ruy Coimbra; Da Luz, Cleverson Roberto 7 2014 Remarks on the decay rate for the energy of the dissipative linear wave equations in exterior domains. Zbl 1158.35327Saeki, Akinobu; Ikehata, Ryo 6 2000 Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity. Zbl 1117.35008Charão, Ruy C.; Ikehata, Ryo 6 2007 Global existence of solutions for semilinear damped wave equation in 2-D exterior domain. Zbl 1053.35105Ikehata, Ryo 6 2004 Energy decay rates of elastic waves in unbounded domain with potential type of damping. Zbl 1218.35036Charão, Ruy C.; Ikehata, Ryo 5 2011 Semilinear parabolic equation in \(R^N\) associated with critical Sobolev exponent. Zbl 1192.35099Ikehata, Ryo; Ishiwata, Michinori; Suzuki, Takashi 5 2010 Local energy decay for linear wave equations with non-compactly supported initial data. Zbl 1058.35140Ikehata, Ryo 5 2004 Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space. Zbl 1304.35396Ikehata, Ryo 5 2015 Local energy decay for linear wave equations with variable coefficients. Zbl 1072.35112Ikehata, Ryo 4 2005 Large time behavior of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1437.35074Ikehata, Ryo; Takeda, Hiroshi 4 2019 Thresholds for low regularity solutions to wave equations with structural damping. Zbl 1458.35054Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori 4 2021 Global existence of solutions for 2D semilinear wave equations with dissipation localized near infinity in an exterior domain. Zbl 1092.35064Ikehata, Ryo 3 2006 A second order fractional differential equation under effects of a super damping. Zbl 1460.35370Charão, Ruy Coimbra; Espinoza, Juan Torres; Ikehata, Ryo 3 2020 Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping. Zbl 1447.35051Charão, Ruy Coimbra; Ikehata, Ryo 3 2020 Local energy decay for wave equations with initial data decaying slowly near infinity. Zbl 1092.35055Ikehata, Ryo; Nishihara, Kenji 2 2005 \(L^2\)-convergence results for linear dissipative wave equations in unbounded domains. Zbl 1061.35045Ikehata, Ryo 2 2003 Remark on the \(L_2\) estimates of the density for the compressible Navier-Stokes flow in \(\mathbf R^3\). Zbl 1042.76549Ikehata, R.; Kobayashi, T.; Matsuyama, T. 2 2001 The Palais-Smale condition for the energy of some semilinear parabolic equations. Zbl 0953.35067Ikehata, Ryo 2 2000 Asymptotic profile of solutions for strongly damped Klein-Gordon equations. Zbl 1416.35151D’Abbicco, Marcello; Ikehata, Ryo 2 2019 Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity. Zbl 1135.35018Ikehata, Ryo; Sobukawa, Genta 2 2007 Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping. Zbl 1479.35089Charão, Ruy Coimbra; D’Abbicco, Marcello; Ikehata, Ryo 2 2021 Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori 2 2020 Energy decay for the wave equations of Kirchhoff type with linear damping terms. Zbl 0965.35097Matsuyama, Tokio; Ikehata, Ryo 1 1997 Local energy decay for linear wave equations with localized dissipation. Zbl 1387.35395Ikehata, Ryo 1 2005 A note on decay rates of the local energy for wave equations with Lipschitz wavespeeds. Zbl 1461.35047Charão, Ruy Coimbra; Ikehata, Ryo 1 2020 Critical exponent for semi-linear wave equations with double damping terms in exterior domains. Zbl 1435.35251D’Abbicco, Marcello; Ikehata, Ryo; Takeda, Hiroshi 1 2019 A dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimates. Zbl 1475.35042Coimbra Charão, Ruy; Piske, Alessandra; Ikehata, Ryo 1 2022 A note on optimal \(L^2\)-estimates of solutions to some strongly damped \(\sigma\)-evolution equations. Zbl 1477.35259Ikehata, Ryo 1 2021 Remarks on the behavior of solutions to the linear wave equations in unbounded domains. Zbl 0990.35089Ikehata, Ryo; Matsuyama, Tokio 1 2001 Fast energy decay for wave equations with a localized damping in the \(n\)-D half space. Zbl 1379.35025Ikehata, Ryo 1 2017 A dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimates. Zbl 1475.35042Coimbra Charão, Ruy; Piske, Alessandra; Ikehata, Ryo 1 2022 The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case. Zbl 1466.35259Chen, Wenhui; Ikehata, Ryo 7 2021 Thresholds for low regularity solutions to wave equations with structural damping. Zbl 1458.35054Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori 4 2021 Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping. Zbl 1479.35089Charão, Ruy Coimbra; D’Abbicco, Marcello; Ikehata, Ryo 2 2021 A note on optimal \(L^2\)-estimates of solutions to some strongly damped \(\sigma\)-evolution equations. Zbl 1477.35259Ikehata, Ryo 1 2021 A second order fractional differential equation under effects of a super damping. Zbl 1460.35370Charão, Ruy Coimbra; Espinoza, Juan Torres; Ikehata, Ryo 3 2020 Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping. Zbl 1447.35051Charão, Ruy Coimbra; Ikehata, Ryo 3 2020 Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori 2 2020 A note on decay rates of the local energy for wave equations with Lipschitz wavespeeds. Zbl 1461.35047Charão, Ruy Coimbra; Ikehata, Ryo 1 2020 Asymptotic profiles of solutions for structural damped wave equations. Zbl 1437.35443Ikehata, Ryo; Takeda, Hiroshi 15 2019 Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms. Zbl 1443.35155Ikehata, Ryo; Michihisa, Hironori 7 2019 Large time behavior of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1437.35074Ikehata, Ryo; Takeda, Hiroshi 4 2019 Asymptotic profile of solutions for strongly damped Klein-Gordon equations. Zbl 1416.35151D’Abbicco, Marcello; Ikehata, Ryo 2 2019 Critical exponent for semi-linear wave equations with double damping terms in exterior domains. Zbl 1435.35251D’Abbicco, Marcello; Ikehata, Ryo; Takeda, Hiroshi 1 2019 Asymptotic profile of solutions for some wave equations with very strong structural damping. Zbl 1403.35047Ikehata, Ryo; Iyota, Shin 9 2018 Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations. Zbl 1424.35246Ikehata, Ryo; Onodera, Michiaki 15 2017 Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms. Zbl 1353.35051Ikehata, Ryo; Takeda, Hiroshi 11 2017 Fast energy decay for wave equations with a localized damping in the \(n\)-D half space. Zbl 1379.35025Ikehata, Ryo 1 2017 Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms. Zbl 1344.35143Ikehata, Ryo; Sawada, Atsushi 12 2016 Optimal decay rates and asymptotic profile for the plate equation with structural damping. Zbl 1339.35043Horbach, Jaqueline Luiza; Ikehata, Ryo; Coimbra Charão, Ruy 11 2016 Asymptotic behavior for abstract evolution differential equations of second order. Zbl 1326.35046da Luz, Cleverson Roberto; Ikehata, Ryo; Charão, Ruy Coimbra 14 2015 Asymptotic profiles for a strongly damped plate equation with lower order perturbation. Zbl 1320.35072Ikehata, Ryo; Soga, Marina 9 2015 Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space. Zbl 1304.35396Ikehata, Ryo 5 2015 Asymptotic profiles for wave equations with strong damping. Zbl 1297.35039Ikehata, Ryo 49 2014 Optimal decay rates for the system of elastic waves in \(\mathbb R^n\) with structural damping. Zbl 1295.35093Ikehata, Ryo; Charão, Ruy Coimbra; Da Luz, Cleverson Roberto 7 2014 Wave equations with strong damping in Hilbert spaces. Zbl 1272.35157Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 60 2013 Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space. Zbl 1306.35067Charão, Ruy Coimbra; da Luz, Cleverson Roberto; Ikehata, Ryo 31 2013 Optimal decay rate of the energy for wave equations with critical potential. Zbl 1267.35034Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 24 2013 New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo 12 2013 Energy decay estimates for wave equations with a fractional damping. Zbl 1274.35216Ikehata, Ryo; Natsume, Masato 29 2012 Energy decay rates of elastic waves in unbounded domain with potential type of damping. Zbl 1218.35036Charão, Ruy C.; Ikehata, Ryo 5 2011 Semilinear parabolic equation in \(R^N\) associated with critical Sobolev exponent. Zbl 1192.35099Ikehata, Ryo; Ishiwata, Michinori; Suzuki, Takashi 5 2010 Critical exponent for semilinear wave equations with space-dependent potential. Zbl 1191.35183Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 27 2009 Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain. Zbl 1128.35073Ikehata, Ryo; Inoue, Yu-ki 13 2008 Total energy decay for semilinear wave equations with a critical potential type of damping. Zbl 1149.35010Ikehata, Ryo; Inoue, Yu-Ki 9 2008 Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity. Zbl 1117.35008Charão, Ruy C.; Ikehata, Ryo 6 2007 Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity. Zbl 1135.35018Ikehata, Ryo; Sobukawa, Genta 2 2007 Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption. Zbl 1116.35094Ikehata, Ryo; Nishihara, Kenji; Zhao, Huijiang 22 2006 Global existence of solutions for 2D semilinear wave equations with dissipation localized near infinity in an exterior domain. Zbl 1092.35064Ikehata, Ryo 3 2006 Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data. Zbl 1073.35171Ikehata, Ryo; Tanizawa, Kensuke 73 2005 Some remarks on the wave equation with potential type damping coefficients. Zbl 1163.35427Ikehata, Ryo 11 2005 Two dimensional exterior mixed problem for semilinear damped wave equations. Zbl 1063.35118Ikehata, Ryo 8 2005 Local energy decay for linear wave equations with variable coefficients. Zbl 1072.35112Ikehata, Ryo 4 2005 Local energy decay for wave equations with initial data decaying slowly near infinity. Zbl 1092.35055Ikehata, Ryo; Nishihara, Kenji 2 2005 Local energy decay for linear wave equations with localized dissipation. Zbl 1387.35395Ikehata, Ryo 1 2005 Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities. Zbl 1056.35120Ikehata, Ryo; Miyaoka, Yasuaki; Nakatake, Takashi 65 2004 New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135Ikehata, Ryo 48 2004 Global existence of solutions for semilinear damped wave equation in 2-D exterior domain. Zbl 1053.35105Ikehata, Ryo 6 2004 Local energy decay for linear wave equations with non-compactly supported initial data. Zbl 1058.35140Ikehata, Ryo 5 2004 Diffusion phenomenon for second order linear evolution equations. Zbl 1029.35186Ikehata, Ryo; Nishihara, Kenji 30 2003 Decay estimates by moments and masses of initial data for linear damped wave equations. Zbl 1033.35069Ikehata, Ryo 9 2003 Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space. Zbl 1061.35052Ikehata, Ryo 8 2003 A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. Zbl 1036.35143Ikehata, Ryo 7 2003 Improved decay rates for solutions to one-dimensional linear and semilinear dissipative wave equations in all space. Zbl 1014.35008Ikehata, Ryo 7 2003 \(L^2\)-convergence results for linear dissipative wave equations in unbounded domains. Zbl 1061.35045Ikehata, Ryo 2 2003 Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\). Zbl 1006.35009Ikehata, Ryo; Ohta, Masahito 41 2002 Diffusion phenomenon for linear dissipative wave equations in an exterior domain. Zbl 1017.35059Ikehata, Ryo 26 2002 Small data global existence of solutions for dissipative wave equations in an exterior domain. Zbl 1140.35504Ikehata, Ryo 9 2002 Energy decay of solutions for the semilinear dissipative wave equations in an exterior domain. Zbl 1145.35434Ikehata, Ryo 15 2001 Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains. Zbl 0983.35022Ikehata, Ryo 15 2001 \(L^2\)-behavior of solutions to the linear heat and wave equations in exterior domains. Zbl 1005.35020Ikehata, Ryo; Matsuyama, Tokio 8 2001 Remark on the \(L_2\) estimates of the density for the compressible Navier-Stokes flow in \(\mathbf R^3\). Zbl 1042.76549Ikehata, R.; Kobayashi, T.; Matsuyama, T. 2 2001 Remarks on the behavior of solutions to the linear wave equations in unbounded domains. Zbl 0990.35089Ikehata, Ryo; Matsuyama, Tokio 1 2001 Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions. Zbl 1016.35005Ikehata, Ryo; Suzuki, Takashi 12 2000 Remarks on the decay rate for the energy of the dissipative linear wave equations in exterior domains. Zbl 1158.35327Saeki, Akinobu; Ikehata, Ryo 6 2000 The Palais-Smale condition for the energy of some semilinear parabolic equations. Zbl 0953.35067Ikehata, Ryo 2 2000 Global solutions to the initial-boundary value problem for the quasilinear visco-elastic wave equation with a perturbation. Zbl 0891.35105Ikehata, Ryo; Matsuyama, Tokio; Nakao, Mitsuhiro 7 1997 Energy decay for the wave equations of Kirchhoff type with linear damping terms. Zbl 0965.35097Matsuyama, Tokio; Ikehata, Ryo 1 1997 On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms. Zbl 0962.35025Matsuyama, Tokio; Ikehata, Ryo 67 1996 Some remarks on the wave equations with nonlinear damping and source terms. Zbl 0866.35071Ikehata, Ryo 63 1996 Stable and unstable sets for evolution of parabolic and hyperbolic type. Zbl 0873.35010Ikehata, Ryo; Suzuki, Takashi 46 1996 A note on the global solvability of solutions to some nonlinear wave equations with dissipative terms. Zbl 0812.35081Ikehata, Ryo 18 1995 A class of second order quasilinear evolution equations. Zbl 0810.34057Ikehata, Ryo; Okazawa, Noboru 8 1994 On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms. Zbl 0765.35030Ikehata, Ryo 13 1991 Yosida approximation and nonlinear hyperbolic equation. Zbl 0715.35050Ikehata, Ryo; Okazawa, Noboru 12 1990 On the existence of global solutions for some nonlinear hyperbolic equations with Neumann conditions. Zbl 0707.35094Ikehata, Ryo 9 1988 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year