Publication Date:
2016-01-22
Description:
Motivated by the recent known results as regards the existence and exponential decay of solutions for wave equations, this paper is devoted to the study of an N-dimensional nonlinear wave equation with a nonlocal boundary condition. We first state two local existence theorems. Next, we give a sufficient condition to guarantee the global existence and exponential decay of weak solutions. The main tools are the Faedo-Galerkin method and the Lyapunov method.MSC: 35L05, 35L15, 35L70, 37B25.
Print ISSN:
1687-2762
Electronic ISSN:
1687-2770
Topics:
Mathematics
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