抄録
We prove a weighted L∞ estimate for the solution to the linear wave equation with a smooth positive time independent potential. The proof is based on application of generalized Fourier transform for the perturbed Laplace operator and a finite dependence domain argument. We apply this estimate to prove the existence of global small data solution to supercritical semilinear wave equations with potential.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 2267-2303 |
| ページ数 | 37 |
| ジャーナル | Communications in Partial Differential Equations |
| 巻 | 26 |
| 号 | 11-12 |
| DOI | |
| 出版ステータス | Published - 2001 1 1 |
| 外部発表 | はい |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics