Fast energy decay for wave equation with a monotone potential and an effective damping

2023/05/22 by Xiaoyan Li, Li, Xiaoyan, Ryo Ikehata +1
Engineering · Mathematics · #35B40 #35B45 #35L05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2305.12666

openalex publication_date 2023/05/22 · openalex created_date 2023/05/24 · openalex updated_date 2026/07/28

Abstract

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. Fast energy decay is established with the help of potential. The proofs of main results rely on a multiplier method and modified techniques adopted in [8].

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