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Global Existence Of Solutions Of A Nonlinear Viscoelastic Wave Equation

Posted on:2015-12-09Degree:MasterType:Thesis
Country:ChinaCandidate:Z H LiuFull Text:PDF
GTID:2180330461985063Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In recent years, more and more scholars have studied the papers on nonlinear wave equations. This paper studies the existence problem of solution of a nonlinear viscoelastic wave equation.This paper is mainly comprised of three chapters:Chapter 1 is the introduction. It introduces the development of the existence problem and blow-up problem of solution of a nonlinear viscoelastic wave equation.Chapter 2 considers the existence of the solution of viscoelastic wave equation In chapter 3, we obtain the global existence to the above viscoelastic wave equation with the initial datum.
Keywords/Search Tags:Nonlinear viscoelastic wave equation, Local solution, Faedo-Galerkin mathod, Global solution, Sobolev embedding theorems
PDF Full Text Request
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