Geodesic
On the energy critical Schrödinger equation in 3D non-trapping domains
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 5, pp. 1153-1177
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We prove that the quintic Schrödinger equation with Dirichlet boundary conditions is locally well posed for H 0 1 (Ω) data on any smooth, non-trapping domain Ω⊂ℝ 3 . The key ingredient is a smoothing effect in L x 5 (L t 2 ) for the linear equation. We also derive scattering results for the whole range of defocusing sub quintic Schrödinger equations outside a star-shaped domain.

@article{AIHPC_2010__27_5_1153_0,
     author = {Ivanovici, Oana and Planchon, Fabrice},
     title = {On the energy critical {Schr\"odinger} equation in {3\protect\emph{D}} non-trapping domains},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1153--1177},
     year = {2010},
     publisher = {Elsevier},
     volume = {27},
     number = {5},
     doi = {10.1016/j.anihpc.2010.04.001},
     mrnumber = {2683754},
     zbl = {1200.35066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.04.001/}
}
TY  - JOUR
AU  - Ivanovici, Oana
AU  - Planchon, Fabrice
TI  - On the energy critical Schrödinger equation in 3D non-trapping domains
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2010
SP  - 1153
EP  - 1177
VL  - 27
IS  - 5
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.04.001/
DO  - 10.1016/j.anihpc.2010.04.001
LA  - en
ID  - AIHPC_2010__27_5_1153_0
ER  - 
%0 Journal Article
%A Ivanovici, Oana
%A Planchon, Fabrice
%T On the energy critical Schrödinger equation in 3D non-trapping domains
%J Annales de l'I.H.P. Analyse non linéaire
%D 2010
%P 1153-1177
%V 27
%N 5
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.04.001/
%R 10.1016/j.anihpc.2010.04.001
%G en
%F AIHPC_2010__27_5_1153_0
Ivanovici, Oana; Planchon, Fabrice. On the energy critical Schrödinger equation in 3D non-trapping domains. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 5, pp. 1153-1177. doi: 10.1016/j.anihpc.2010.04.001

Cité par Sources :