Linearized stability for hyperbolic evolution equations with semilinear boundary conditions
type: Item
instance of: scholarly article
title: Linearized stability for hyperbolic evolution equations with semilinear boundary conditions
zbMATH Open document ID: 0683.47020
DOI: 10.1007/BF02573231
author: Günther Greiner
published in: Semigroup Forum
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134954
review text: The author presents an abstract setting for semilinear hyperbolic equations with nonlinear boundary conditions. Then a criterion for the (uniform, exponential) stability of equilibria is provided in terms of the growth bound of the semigroup generated by a suitably defined linearized operator. Under slightly stronger assumptions, a sufficient condition is given which only involves spectral properties of the linearized operator.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 4119035
zbMATH Keywords: semilinear hyperbolic equations with nonlinear boundary conditions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4119035