Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Ryo Ikehata"'
Publikováno v:
Journal of Differential Equations. 311:188-228
We consider a wave equation with a nonlocal logarithmic damping depending on a small parameter $\theta \in (0,1/2)$. This research is a counter part of that was initiated by Charao-D'Abbicco-Ikehata considered in [5] for the large parameter case $\th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bf17f08065c2d016cc33e9748cc1965
https://doi.org/10.1016/j.jde.2021.12.010
https://doi.org/10.1016/j.jde.2021.12.010
Autor:
Wenhui Chen, Ryo Ikehata
Publikováno v:
Journal of Differential Equations. 292:176-219
In this paper, we study the Cauchy problem for the linear and semilinear Moore-Gibson-Thompson (MGT) equation in the dissipative case. Concerning the linear MGT model, by utilizing WKB analysis associated with Fourier analysis, we derive some L 2 est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32d1f609674f4dcc2ee9f72070f4c9ae
https://doi.org/10.1016/j.jde.2021.05.011
https://doi.org/10.1016/j.jde.2021.05.011
Publikováno v:
Communications on Pure & Applied Analysis. 19:4433-4454
In this work we study asymptotic properties of global solutions for an initial value problem of a second order fractional differential equation with structural damping. The evolution equation considered includes plate equation problems. We show asymp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7faeb8e732ebc63929fd72e344b02732
https://doi.org/10.3934/cpaa.2020202
https://doi.org/10.3934/cpaa.2020202
Autor:
Hiroshi Takeda, Ryo Ikehata
Publikováno v:
Funkcialaj Ekvacioj. 63:133-152
We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform total energy decay estimates together with a unique existence result of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b55b46a3c8f72e7978903d678ec60de
https://doi.org/10.1619/fesi.63.133
https://doi.org/10.1619/fesi.63.133
Autor:
Wenhui Chen, Ryo Ikehata
In this paper, we study the Cauchy problem for a wave equation with general strong damping $-\mu(|D|)\Delta u_t$ motivated by [Tao, Anal. PDE (2009)] and [Ebert-Girardi-Reissig, Math. Ann. (2020)]. By employing energy methods in the Fourier space and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad4c82de2f9be052b567d2e5a614b301
http://arxiv.org/abs/2112.02795
http://arxiv.org/abs/2112.02795
Autor:
Ryo Ikehata1 ikehatar@hiroshima-u.ac.jp
Publikováno v:
Azerbaijan Journal of Mathematics. Jul2019, Vol. 9 Issue 2, p150-165. 16p.
Autor:
Hironori Michihisa, Ryo Ikehata
Publikováno v:
Asymptotic Analysis. 114:19-36
In this report we obtain higher order asymptotic expansions of solutions to wave equations with frictional and viscoelastic damping terms. Although the diffusion phenomena are dominant, differences between the solutions we deal with and those of heat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bec69da15dac96cbb8de3752b4c132ed
https://doi.org/10.3233/asy-181516
https://doi.org/10.3233/asy-181516
Autor:
Marcello D'Abbicco, Ryo Ikehata
Publikováno v:
Mathematical Methods in the Applied Sciences. 42:2287-2301
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc9e23a6ab25a484345013803f41742b
https://doi.org/10.1002/mma.5508
https://doi.org/10.1002/mma.5508
Autor:
Shingo Kitazaki, Ryo Ikehata
Publikováno v:
Evolution Equations & Control Theory. 8:825-846
We consider the Cauchy problem in \begin{document}$ {\bf R}^{n} $\end{document} for some wave equations with double damping terms, that is, one is the frictional damping \begin{document}$ u_{t}(t, x) $\end{document} and the other is very strong struc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e1ac62473762083d41c568c29793459
https://doi.org/10.3934/eect.2019040
https://doi.org/10.3934/eect.2019040
We introduce a new model of the logarithmic type of wave like plate equation with a nonlocal logarithmic damping mechanism. We consider the Cauchy problem for this new model in the whole space, and study the asymptotic profile and optimal decay rates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f826325d85d97258e0900f185f027550
http://arxiv.org/abs/2104.08468
http://arxiv.org/abs/2104.08468