Existence and uniform decay of solutions of a parabolic-hyperbolic equation with nonlinear boundary damping and boundary source term
type: Item
instance of: scholarly article
title: Existence and uniform decay of solutions of a parabolic-hyperbolic equation with nonlinear boundary damping and boundary source term
zbMATH Open document ID: 1022.35028
author: J. S. Prates Filho
author: M. M. Cavalcanti
author: V. N. Domingos Cavalcanti
author: J. A. Soriano
published in: Communications in Analysis and Geometry
publication date: 2003-04-07T00:00:00Z
review text: A mixed problem for a linear hyperbolic-parabolic equation is considered when on the part of the lateral boundary the Dirichlet condition is given and on the rest of the boundary a nonlinear damping and a source term are given. Under the assumption that the damping is predominant over the source, the existence of global solutions is proved. If the damping and the source terms have the same growth, the uniform decay of strong and weak solutions is proved.
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1893853
zbMATH Keywords: existence
zbMATH Keywords: decay
zbMATH Keywords: boundary damping
MaRDI profile type: Publication
DOI: 10.4310/CAG.2002.V10.N3.A1
description: scientific article; zbMATH DE number 1893853