Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

• Autores: Thomas Duyckaerts , Carlos E. Kenig, Frank Merle
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 14, Nº 5, 2012, págs. 1389-1454
• Idioma: inglés
• DOI: 10.4171/jems/336
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• Resumen

  • Following our previous paper in the radial case, we consider type II blow-up solutions to the energy-critical focusing wave equation. Let W be the unique radial positive stationary solution of the equation. Up to the symmetries of the equation, under an appropriate smallness assumption, any type II blow-up solution is asymptotically a regular solution plus a rescaled Lorentz transform of W concentrating at the origin.