Global existence and energy decay for a damped quasi-linear wave equation

In this paper we prove the global existence and study decay property of the solutions to the initial boundary value problem for the quasi‐linear wave equation with a dissipative term without the smallness of the initial data. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 21; no. 13; pp. 1185 - 1194
Main Author Aassila, Mohammed
Format Journal Article
LanguageEnglish
Published Stuttgart John Wiley & Sons, Ltd 10.09.1998
Wiley
Teubner
Subjects
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Sciences and techniques of general use
Damping
Wave equation
Vibration
Sobolev space
Existence of solution
Initial value problem
Elastic structure
Global solution
Convergence
Quasilinearity
Boundary value problem
Nonlinearity
Galerkin method
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Summary:In this paper we prove the global existence and study decay property of the solutions to the initial boundary value problem for the quasi‐linear wave equation with a dissipative term without the smallness of the initial data. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-1GVHQ0TF-0
istex:5E5CB46E9A539319134C6805E756B3D478EF2434
ArticleID:MMA989
ISSN:0170-4214
1099-1476
DOI:10.1002/(SICI)1099-1476(19980910)21:13<1185::AID-MMA989>3.0.CO;2-Q