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math.AP2023
-growth property for wave equations with higher derivative terms
Ryo Ikehata, Xiaoyan Li
We consider the Cauchy problems in the whole space for wave equations with higher derivative terms. We derive sharp growth estimates of the -norm of the solution itself in the…
math.AP2023
Fast energy decay for wave equation with a monotone potential and an effective damping
Xiaoyan Li, Ryo Ikehata
We consider the total energy decay of the Cauchy problem for wave equations with a potential and an effective damping. We treat it in the whole one-dimensional Euclidean space. Fas…
math.AP2023
Energy decay for wave equations with a potential and a localized damping
Ryo Ikehata, Xiaoyan Li
We consider the total energy decay together with L^2-bound of the solution itself of the Cauchy problem for wave equations with a localized damping and a short-range potential. We…