| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613096 | Journal of Differential Equations | 2008 | 47 Pages |
Abstract
In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation's dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data ϕ possesses certain regularity and sufficient decay as x→∞, then the solution u(t) will be smoother than ϕ for 0
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
