Geodesic
Stable blowup for wave equations in odd space dimensions
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 5, pp. 1181-1213

Voir la notice de l'article provenant de la source Numdam

We consider semilinear wave equations with focusing power nonlinearities in odd space dimensions d≥5. We prove that for every p>d+3d−1 there exists an open set of radial initial data in Hd+12×Hd−12 such that the corresponding solution exists in a backward lightcone and approaches the ODE blowup profile. The result covers the entire range of energy supercritical nonlinearities and extends our previous work for the three-dimensional radial wave equation to higher space dimensions.

DOI : 10.1016/j.anihpc.2016.09.005
Keywords: Nonlinear wave equations, Blowup, Stability 
@article{AIHPC_2017__34_5_1181_0,
     author = {Donninger, Roland and Sch\"orkhuber, Birgit},
     title = {Stable blowup for wave equations in odd space dimensions},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1181--1213},
     publisher = {Elsevier},
     volume = {34},
     number = {5},
     year = {2017},
     doi = {10.1016/j.anihpc.2016.09.005},
     zbl = {1395.35041},
     mrnumber = {3742520},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.09.005/}
}
TY  - JOUR
AU  - Donninger, Roland
AU  - Schörkhuber, Birgit
TI  - Stable blowup for wave equations in odd space dimensions
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2017
SP  - 1181
EP  - 1213
VL  - 34
IS  - 5
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.09.005/
DO  - 10.1016/j.anihpc.2016.09.005
LA  - en
ID  - AIHPC_2017__34_5_1181_0
ER  - 
%0 Journal Article
%A Donninger, Roland
%A Schörkhuber, Birgit
%T Stable blowup for wave equations in odd space dimensions
%J Annales de l'I.H.P. Analyse non linéaire
%D 2017
%P 1181-1213
%V 34
%N 5
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.09.005/
%R 10.1016/j.anihpc.2016.09.005
%G en
%F AIHPC_2017__34_5_1181_0
Donninger, Roland; Schörkhuber, Birgit. Stable blowup for wave equations in odd space dimensions. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 5, pp. 1181-1213. doi: 10.1016/j.anihpc.2016.09.005

Cité par Sources :