The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation

2008/04/02 by Yongqin Liu, Liu, Yongqin
Engineering · Mathematics · #35E15 #35L15 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations #math.AP #msc:35E15 #msc:35L15

paper · pdf · doi:10.48550/arxiv.0804.0298

20 pages

openalex publication_date 2008/04/02 · arxiv created 2010/01/06 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we focus on the global-in-time existence and the pointwise estimates of solutions to the initial value problem for the semilinear dissipative wave equation in multi-dimensions. By using the method of Green function combined with the energy estimates, we obtain the pointwise estimates of the solution.

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