ON A NONLINEAR WAVE EQUATION ASSOCIATED WITH THE NONHOMOGENEOUS BOUNDARY CONDITIONS INVOLVING CONVOLUTION

Le Thi Phuong Ngoc, Le Khanh Luan, Nguyen Anh Triet

Abstract


The paper deals with the initial-boundary value problem for the nonlinear wave equation, we prove a theorem of existence and uniqueness of a weak solution of the nonlinear wave equation. The proof is based on the Faedo-Galerkin method associated with the weak compact method.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)