Contraction-Galerkin method for a semi-linear wave equation

Út V. Lê

doi:10.3934/cpaa.2010.9.141

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2010, Volume 9, Issue 1: 141-160. Doi: 10.3934/cpaa.2010.9.141

This issue Previous Article Optimal Hardy inequalities for general elliptic operators with improvements Next Article Asymptotic behavior of thermoviscoelastic Berger plate

Contraction-Galerkin method for a semi-linear wave equation

Út V. Lê^1,

1.
Department of Mathematical Sciences, P.O. Box 3000, FIN-90014 University of Oulu

Received: December 31, 2008

Revised: July 31, 2009

Published: December 2009

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Abstract

In this paper we consider the unique solvability of initial-boundary value problems of semi-linear wave equations with space-time dependent coefficients and special mixed non-homogeneous boundary values which form the so-called boundary-like antiperiodic condition. The procedure in this paper is the combination of the Galerkin method and a contraction.

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Mathematics Subject Classification: Primary: 35L15, 35L70; Secondary: 35A05.

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