Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
https://doi.org/10.1016/j.na.2011.07.015Publisher, magazine: ,
Publication year: 2011
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: Nonlinear wave equation; Local existence; Global existence; Blow up; Exponential decay
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