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

  • Carlos Kenig

    University of Chicago, United States

  • Frank Merle

    Cergy-Pontoise (UMR 8088), IHES, France
Global existence for solutions of the focusing wave equation with the compactness property cover
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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