Article ID Journal Published Year Pages File Type
841423 Nonlinear Analysis: Theory, Methods & Applications 2011 17 Pages PDF
Abstract

This paper is devoted to studying a nonlinear wave equation with boundary conditions of two-point type. First, we state two local existence theorems and under the suitable conditions, we prove that any weak solutions with negative initial energy will blow up in finite time. Next, we give a sufficient condition to guarantee the global existence and exponential decay of weak solutions. Finally, we present numerical results.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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