Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501729 | Journal of Differential Equations | 2005 | 47 Pages |
Abstract
We study the nonlinear wave equation with a sign-changing potential in any space dimension. If the potential is small and rapidly decaying, then the existence of small-amplitude solutions is driven by the nonlinear term. If the potential induces growth in the linearized problem, however, solutions that start out small may blow-up in finite time.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Paschalis Karageorgis,