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

Thomas Duyckaerts; Carlos E. Kenig; Frank Merle

Journal of the European Mathematical Society (2012)

- Volume: 014, Issue: 5, page 1389-1454
- ISSN: 1435-9855

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topDuyckaerts, Thomas, Kenig, Carlos E., and Merle, Frank. "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 014.5 (2012): 1389-1454. <http://eudml.org/doc/277276>.

@article{Duyckaerts2012,

abstract = {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.},

author = {Duyckaerts, Thomas, Kenig, Carlos E., Merle, Frank},

journal = {Journal of the European Mathematical Society},

keywords = {rescaled Lorentz transform},

language = {eng},

number = {5},

pages = {1389-1454},

publisher = {European Mathematical Society Publishing House},

title = {Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case},

url = {http://eudml.org/doc/277276},

volume = {014},

year = {2012},

}

TY - JOUR

AU - Duyckaerts, Thomas

AU - Kenig, Carlos E.

AU - Merle, Frank

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

JO - Journal of the European Mathematical Society

PY - 2012

PB - European Mathematical Society Publishing House

VL - 014

IS - 5

SP - 1389

EP - 1454

AB - 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.

LA - eng

KW - rescaled Lorentz transform

UR - http://eudml.org/doc/277276

ER -

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