Decay estimates for the critical semilinear wave equation

Hajer Bahouri, Jalal Shatah

Research output: Contribution to journalArticle

Abstract

In this paper we prove that finite energy solutions (with added regularity) to the critical wave equation □u + u5 = 0 on ℝ3 decay to zero in time. The proof is based on a global space-time estimate and dilation identity.

Original languageEnglish (US)
Pages (from-to)783-789
Number of pages7
JournalAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume15
Issue number6
StatePublished - Nov 1998

Fingerprint

Semilinear Wave Equation
Decay Estimates
Wave equations
Dilation
Wave equation
Space-time
Regularity
Decay
Zero
Energy
Estimate

ASJC Scopus subject areas

  • Analysis

Cite this

Decay estimates for the critical semilinear wave equation. / Bahouri, Hajer; Shatah, Jalal.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 15, No. 6, 11.1998, p. 783-789.

Research output: Contribution to journalArticle

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