Kernel sections for damped non-autonomous wave equations with critical exponent
type: Item
instance of: scholarly article
title: Kernel sections for damped non-autonomous wave equations with critical exponent
zbMATH Open document ID: 1026.35083
author: Shengfan Zhou
author: Linshan Wang
published in: Discrete and Continuous Dynamical Systems
publication date: 2003-07-15T00:00:00Z
review text: The existence of kernel sections for the process generated by damped non-autonomous wave equation containing nonlinear damping and nonlinearity of critically growing exponent is proved. Uniform boundedness of the Hausdorff dimension of the kernel sections is also obtained.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 1890744
zbMATH Keywords: semilinear wave equation
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: nonlinear damping
zbMATH Keywords: critical exponent
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
full work available at URL: dcds.2003.9.399
OpenAlex ID: W2021035850
DOI: 10.3934/DCDS.2003.9.399
description: scientific article; zbMATH DE number 1890744