Global existence for solutions of the focusing wave equation with the compactness property
Annales de l'I.H.P. Analyse non linéaire, Volume 33 (2016) no. 6, pp. 1675-1690.

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.

DOI: 10.1016/j.anihpc.2015.08.002
Keywords: Focusing wave equation, Dynamics, Compactness, Global existence
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     title = {Global existence for solutions of the focusing wave equation with the compactness property},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1675--1690},
     publisher = {Elsevier},
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Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank. Global existence for solutions of the focusing wave equation with the compactness property. Annales de l'I.H.P. Analyse non linéaire, Volume 33 (2016) no. 6, pp. 1675-1690. doi : 10.1016/j.anihpc.2015.08.002. http://www.numdam.org/articles/10.1016/j.anihpc.2015.08.002/

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