Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition

被引：0
|
作者：
Le Thi Phuong Ngoc
Nguyen Anh Triet
Nguyen Thanh Long
机构：
[1] University of Khanh Hoa,Department of Mathematics
[2] University of Architecture of Ho Chi Minh City,Department of Mathematics and Computer Science
[3] University of Natural Science,undefined
[4] Vietnam National University Ho Chi Minh City,undefined
来源：
Boundary Value Problems | / 2016卷
关键词：
Galerkin method; nonlinear wave equation; local existence; global existence; exponential decay; 35L05; 35L15; 35L70; 37B25;
D O I：
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学科分类号：
摘要：
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.
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