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

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

2010-03-02

arxiv.org/abs/1003.0625v4

Mathematics

Analysis of PDEs

New version. Slight changes in Theorem 1 and in the proofs. To appear in JEMS

Scientific paper

Following our previous paper in the radial case, we consider blow-up type II 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.

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