The Regularity and Exponential Decay of Solution for a Linear Wave Equation Associated with Two-point Boundary Conditions
نویسندگان
چکیده
This paper is concened with the existence and the regularity of global solutions to the linear wave equation associated the boundary conditions of two-point type. We also investigate the decay properties of the global solutions to this problem by the construction of a suitable Lyapunov functional. Keyword: Faedo-Galerkin method; Global existence; nonlinear wave equation; two-point boundary conditions. AMS subject classification: 35L05, 35L15, 35L70, 37B25.
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