| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4664084 | Acta Mathematica Scientia | 2013 | 18 Pages |
Abstract
In this article, we prove that the Cauchy problem for a N-dimensional system of nonlinear wave equations utt-aΔutt=Δf(u,v), x ∈ ℝN, t > 0,utt-aΔutt=Δg(u,v), x ∈ ℝN, t > 0admits a unique global generalized solution in C3([0,∞);Wm,p(ℝN)∩ L∞(ℝN) ∩ L2(ℝN)) (m≥ 0 is an integer, 1≤ p ≤ ∞) and a unique global classical solution in C3([0,∞);Wm,p∩ L∞ ∩ L2) (m > 2+ NP), the sufficient conditions of the blow up of the solution in finite time are given, and also two examples are given.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hongxia GUO, Guowang CHEN,