Geodesic
Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1389-1454

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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.
DOI : 10.4171/jems/336
Classification : 00-XX
Keywords: 
@article{JEMS_2012_14_5_a2,
     author = {Thomas Duyckaerts and Carlos E. Kenig and Frank Merle},
     title = {Universality of the blow-up profile for small type {II} blow-up solutions of the energy-critical wave equation: the nonradial case},
     journal = {Journal of the European Mathematical Society},
     pages = {1389--1454},
     publisher = {mathdoc},
     volume = {14},
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     year = {2012},
     doi = {10.4171/jems/336},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/336/}
}
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Thomas Duyckaerts; Carlos E. Kenig; Frank Merle. Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case. Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1389-1454. doi: 10.4171/jems/336

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