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Article Contents

# Contraction-Galerkin method for a semi-linear wave equation

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

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