Global existence for solutions of the focusing wave equation with the compactness property

Thomas Duyckaerts; Carlos Kenig; Frank Merle

doi:10.1016/j.anihpc.2015.08.002

JournalsaihpcVol. 33, No. 6pp. 1675–1690

Global existence for solutions of the focusing wave equation with the compactness property

Thomas Duyckaerts
LAGA (UMR 7539), Université Paris 13, Sorbonne Paris Cité, France
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- zbMATH Open
Carlos Kenig
University of Chicago, United States
- MathSciNet
- zbMATH Open
Frank Merle
Cergy-Pontoise (UMR 8088), IHES, France
- MathSciNet
- zbMATH Open

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Abstract

We prove that every solution of the focusing energy-critical wave equation with the compactness property is global. We also give similar results for supercritical wave and Schrödinger equations.

Cite this article

Thomas Duyckaerts, Carlos Kenig, Frank Merle, Global existence for solutions of the focusing wave equation with the compactness property. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 6, pp. 1675–1690

DOI 10.1016/J.ANIHPC.2015.08.002