Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899887 | Physica D: Nonlinear Phenomena | 2008 | 11 Pages |
Abstract
We study the Cauchy problem of generalized Boussinesq equation utt−uxx+(uxx+f(u))xx=0utt−uxx+(uxx+f(u))xx=0, where f(u)=±|u|pf(u)=±|u|p or ±|u|p−1u±|u|p−1u, p>1p>1. By introducing a family of potential wells we obtain invariant sets, vacuum isolating and threshold result of global existence and nonexistence of solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yacheng Liu, Runzhang Xu,