Decay estimates for the critical semilinear wave equation

Hajer Bahouri; Jalal Shatah

doi:10.1016/S0294-1449(99)80005-5

Decay estimates for the critical semilinear wave equation

Hajer Bahouri, Jalal Shatah

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	783-789
Number of pages	7
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	15
Issue number	6
DOIs	https://doi.org/10.1016/S0294-1449(99)80005-5
State	Published - 1998

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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10.1016/S0294-1449(99)80005-5

Cite this

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title = "Decay estimates for the critical semilinear wave equation",

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.",

author = "Hajer Bahouri and Jalal Shatah",

year = "1998",

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Decay estimates for the critical semilinear wave equation

Abstract

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