Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case.(English)Zbl 1282.35088

In this very nice paper under review and following previous papers due to the authors in the radial case, they consider type II blow-up solutions to the energy-critical focusing wave equation. The result reads as follows: Let $$W$$ be the unique radial positive stationary solution of the equation. Up to the symmetries of the equation, under a suitable smallness assumption, any type II blow-up solution is asymptotically a regular solution plus a rescaled Lorentz transform of $$W$$ concentrating at the origin.

MSC:

 35B44 Blow-up in context of PDEs 35L71 Second-order semilinear hyperbolic equations 35B33 Critical exponents in context of PDEs

Keywords:

rescaled Lorentz transform
Full Text:

References:

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