Ryo Ikehata

collaborators

4 papers

math.AP2025

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 $R^{2}$ . The damping is effective only near spatial infinity. We obtain fast energy decay estimate…

math.AP2025

Local energy decay for 2-D wave equations with variable coefficients

Ryo Ikehata

This paper addresses the two-dimensional initial value problem in $R^{2}$ for the wave equation with varying spatial coefficients in the main part. Assuming compactness in th…

math.AP2025

On the system of $2$ -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 $V (x)$ . We study the Cauchy problem for this model in the $2$ -dimensional Euclidean space ${\bf R}^{2}…

math.AP2024

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 $u$ and the temperature difference $θ$ for the thermoelastic systems of type II and type III in t…

Fast energy decay for 2-D wave equation with localized damping near spatial infinity

Local energy decay for 2-D wave equations with variable coefficients

On the system of 2-D elastic waves with critical space dependent damping

Sharp large time asymptotic behavior for the multi-dimensional thermoelastic systems of type II and type III

On the system of $2$ -D elastic waves with critical space dependent damping