Existence for a nonlinear wave equation with damping and source terms.
type: Item
instance of: scholarly article
title: Existence for a nonlinear wave equation with damping and source terms.
zbMATH Open document ID: 1036.35146
author: James Serrin
author: Grozdena Todorova
author: Enzo Vitillaro
published in: Differential and Integral Equations
publication date: 2003-11-17T00:00:00Z
review text: The paper deals with the Cauchy problem to the equation \(u_{tt}(t,x)-\triangle u(t,x)+Q(t,x,u_t)=f(x,u)\) with compactly supported initial data. The uniqueness and regularity of a solution are proved. The authors use Orlicz spaces and ingenious estimates, to obtain the results for a broad range of powers of the nonlinearities \(Q,f\).
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 2004888
zbMATH Keywords: semilinear wave equation
zbMATH Keywords: global solution
zbMATH Keywords: compactly supported initial data
zbMATH Keywords: regularity
zbMATH Keywords: Orlicz space
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2004888