Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589634 | Journal of Functional Analysis | 2016 | 32 Pages |
Abstract
We consider the three-dimensional linear wave equation perturbed by a potential V belonging to a scaling-critical class which is the closure of bounded, compactly supported functions with respect to the global Kato norm. Without any further smallness assumptions, we first prove the dispersive estimate for the solution of the wave equation. As a byproduct, we prove Strichartz estimates under a slightly stronger condition.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
The Anh Bui, Xuan Thinh Duong, Younghun Hong,