Global solutions to a class of nonlinear damped wave operator equations

This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational structure, we obtain the existence, uniformly bounded and regularity of solutions. Mathematics Subject...

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Bibliographic Details
Published inBoundary value problems Vol. 2012; no. 1; pp. 1 - 9
Main Authors Pan, Zhigang, Pu, Zhilin, Ma, Tian
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 13.04.2012
Hindawi Limited
BioMed Central Ltd
Subjects
Analysis
Approximations and Expansions
Boundary value problems
Classification
Difference and Functional Equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Operators
Ordinary Differential Equations
Partial Differential Equations
Regularity
global solutions
uniformly bounded
regularity
nonlinear damped wave operator equations
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Summary:This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational structure, we obtain the existence, uniformly bounded and regularity of solutions. Mathematics Subject Classification 2000 : 35L05; 35A01; 35L35.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/1687-2770-2012-42