Ryo Ikehata

collaborators

3 papers

math.AP2026

On the $L^{2}$ estimates of the diffusion waves

Ryo Ikehata, Hiroshi Takeda

In this paper, we investigate the long-time behavior of the $L^{2}$ -norm of solutions to the Cauchy problem for the strongly damped wave equation on $R^{n}$ , with particular f…

math.AP2023

Optimal $L^{2}$ -growth of the generalized Rosenau equation

Xiaoyan Li, Ryo Ikehata

We report that the quantity measured in the $L^{2}$ norm of the solution itself of the generalized Rosenau equation, which was completely unknown in this equation, grows in the prope…

math.AP2023

Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients

Ryo Ikehata

We consider the $L^{2}$ -boundedness of the solution itself of the Cauchy problem for wave equations with time-dependent wave speeds. We treat it in the one-dimensional Euclidean spac…

On the L2 estimates of the diffusion waves

Optimal L2-growth of the generalized Rosenau equation

Some attempts on L2 boundedness for 1-D wave equations with time variable coeffecients

On the $L^{2}$ estimates of the diffusion waves

Optimal $L^{2}$ -growth of the generalized Rosenau equation

Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients