Supercritical semilinear wave equation with non-negative potential

Vladimir Simeonov Gueorguiev, Charlotte Heiming, Hideo Kubo

研究成果: Article

10 引用 (Scopus)

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
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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Semilinear Wave Equation
Wave equations
Non-negative
Generalized Fourier Transform
Laplace Operator
Estimate
Mathematical operators
Wave equation
Linear equation
Fourier transforms

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

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