A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space.
type: Item
instance of: scholarly article
title: A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space.
zbMATH Open document ID: 1036.35143
author: Ryo Ikehata
published in: Differential and Integral Equations
publication date: 2003-11-17T00:00:00Z
review text: The author proves the existence and uniqueness of a solution to the half space mixed problem for the equation \(u_{tt}-u_{xx}+u_{t}=| u| ^{p}\) for small initial data. A new lower bound of the power \(p\) of the nonlinear term and better decay estimates of the solution are obtained.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35L15
zbMATH DE Number: 2004922
zbMATH Keywords: small initial data
zbMATH Keywords: mixed problem
zbMATH Keywords: decay estimate
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2004922