On Uniqueness for the Critical Wave Equation

Nader Masmoudi, Fabrice Planchon

Type: Article

Publication Date: 2006-05-23

Citations: 25

DOI: https://doi.org/10.1080/03605300500358012

Abstract

We prove the uniqueness of weak solutions to the critical defocusing wave equation in 3D under a local energy inequality condition. More precisely, we prove the uniqueness of , under the condition that u verifies some local energy inequalities.

Locations

Communications in Partial Differential Equations - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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+	Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality	1999	Michaël Struwe
+	UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN	2001	Pierre Louis Lions Nader Masmoudi
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg
+	Uniqueness of Finite Energy Solutions for Maxwell-Dirac and Maxwell-Klein-Gordon Equations	2003	Nader Masmoudi Kenji Nakanishi
+	Regularity Results for Nonlinear Wave Equations	1993	Jalal Shatah Michaël Struwe
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+	High frequency approximation of solutions to critical nonlinear wave equations	1999	Hajer Bahouri Patrick Gérard
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+ PDF Chat	The global Cauchy problem for a relativistic scalar field with power interaction	1963	I. E. Segal