Density of the range of a wave operator with nonmonotone superlinear nonlinearity
type: Item
instance of: scholarly article
title: Density of the range of a wave operator with nonmonotone superlinear nonlinearity
zbMATH Open document ID: 0653.35061
author: Kazunaga Tanaka
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: Consider the nonlinear wave equation \(u_{tt}-u_{xx}+g(w)=f(x,t)\), \((x,t)t(0,\pi)\times R\), \(u(0,t)=u(\pi,t)=0\), \(t\in R\); \(u(x,t+T)=u(x,t)\), \((x,t)\in (0,\pi)\times R\). Many authors were concerned with this problem, for example, the author [(*) Tokyo J. Math. 8, 377-387 (1985; Zbl 0607.35063)]. This paper is an extension of (*) to the case that g(s) is superlinear.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 4065539
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: superlinear
MaRDI profile type: Publication
full work available at URL: pjaa.62.129
OpenAlex ID: W2001998182
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DOI: 10.3792/PJAA.62.129
description: scientific article; zbMATH DE number 4065539