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.
| 元の言語 | 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 |
| 発行部数 | 11-12 |
| 出版物ステータス | Published - 2001 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Analysis
- Applied Mathematics
これを引用
Supercritical semilinear wave equation with non-negative potential. / Gueorguiev, Vladimir Simeonov; Heiming, Charlotte; Kubo, Hideo.
：: Communications in Partial Differential Equations, 巻 26, 番号 11-12, 2001, p. 2267-2303.研究成果: Article
}
TY - JOUR
T1 - Supercritical semilinear wave equation with non-negative potential
AU - Gueorguiev, Vladimir Simeonov
AU - Heiming, Charlotte
AU - Kubo, Hideo
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=10044223896&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=10044223896&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:10044223896
VL - 26
SP - 2267
EP - 2303
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
SN - 0360-5302
IS - 11-12
ER -