Global existence for solutions of the focusing wave equation with the compactness property
Thomas Duyckaerts
LAGA (UMR 7539), Université Paris 13, Sorbonne Paris Cité, FranceCarlos Kenig
University of Chicago, United StatesFrank Merle
Cergy-Pontoise (UMR 8088), IHES, France
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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