Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841423 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 17 Pages |
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.
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Authors
Le Xuan Truong, Le Thi Phuong Ngoc, Alain Pham Ngoc Dinh, Nguyen Thanh Long,