5 papers
Fast energy decay for 2-D wave equation with localized damping near spatial infinity
Ryo Ikehata
We consider the Cauchy problem for wave equations with localized damping in . The damping is effective only near spatial infinity. We obtain fast energy decay estimate…
Local energy decay for 2-D wave equations with variable coefficients
Ryo Ikehata
This paper addresses the two-dimensional initial value problem in for the wave equation with varying spatial coefficients in the main part. Assuming compactness in th…
On the system of -D elastic waves with critical space dependent damping
Ruy Coimbra Charão, Ryo Ikehata
We consider the system of elastic waves with critical space dependent damping . We study the Cauchy problem for this model in the -dimensional Euclidean space ${\bf R}^{2}…
Large time behavior for the classical wave equation with different regular data and its applications
Wenhui Chen, Ryo Ikehata
In this paper, we mainly consider large time behavior for the classical free wave equation in . We derive some large time optimal estimates for the qua…
Sharp large time asymptotic behavior for the multi-dimensional thermoelastic systems of type II and type III
Wenhui Chen, Ryo Ikehata
In this paper, we study large time asymptotic behavior of the elastic displacement and the temperature difference for the thermoelastic systems of type II and type III in…