Sufficient conditions on the forcing terms for the global solvability of dissipative Kirchhoff equations
type: Item
instance of: scholarly article
title: Sufficient conditions on the forcing terms for the global solvability of dissipative Kirchhoff equations
zbMATH Open document ID: 1065.35205
DOI: 10.1016/S0362-546X(01)00872-0
author: Taeko Yamazaki
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-11-28T00:00:00Z
review text: This paper concerns global unique solvability of abstract hyperbolic equations of the type \[ \partial^2_tu+m(\| A^{1/2}u\|^2)+\gamma\partial_tu=f(t), \] where \(A\) is a nonnegative self-adjoint operator. There are given a sufficient condition on the forcing \(f\) for global existence and a necessary condition for the existence of bounded solutions.
reviewed by: Lutz Recke
Mathematics Subject Classification ID: 35L90
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 1836624
zbMATH Keywords: abstract hyperbolic equations
zbMATH Keywords: nonnegative self-adjoint operator
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1836624