Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case - MaRDI portal

Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case (Q713953)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
scientific article

    Statements

    Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case (English)
    0 references
    0 references
    0 references
    0 references
    19 October 2012
    0 references
    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.
    0 references
    rescaled Lorentz transform
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references