Weighted decay estimate for the wave equation

研究成果: Article

1 引用 (Scopus)

抄録

The work is devoted to the proof of a new L∞-L weighted estimate for the solution to the nonhomogeneous wave equation in (3 + l)-dimensional space-time. The weighted Sobolev spaces are associated with the generators of the Poincarégroup. The estimate obtained is applied to prove the global existence of a solution to a nonlinear system of wave and Klein-Gordon equations with small initial data.

元の言語English
ページ(範囲)393-402
ページ数10
ジャーナルProceedings of the American Mathematical Society
112
発行部数2
DOI
出版物ステータスPublished - 1991
外部発表Yes

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Sobolev spaces
Weighted Estimates
Weighted Sobolev Spaces
Decay Estimates
Klein-Gordon Equation
Wave equations
Global Existence
Nonlinear systems
Wave equation
Nonlinear Systems
Space-time
Generator
Estimate

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

これを引用

Weighted decay estimate for the wave equation. / Covachev, Valery; Gueorguiev, Vladimir Simeonov.

:: Proceedings of the American Mathematical Society, 巻 112, 番号 2, 1991, p. 393-402.

研究成果: Article

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