Geodesic
Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1687-1759.

Voir la notice de l'article provenant de la source EMS Press

In this paper we prove an almost sure local well-posedness result for the periodic 3D quintic nonlinear Schrödinger equation in the supercritical regime, that is below the critical space H1(T3).
DOI : 10.4171/jems/543
Classification : 35-XX, 37-XX
Keywords: Supercritical nonlinear Schrödinger equation, almost sure well-posedness, random data 
@article{JEMS_2015_17_7_a5,
     author = {Andrea R. Nahmod and Gigliola Staffilani},
     title = {Almost sure well-posedness for the periodic {3D} quintic nonlinear {Schr\"odinger} equation below the energy space},
     journal = {Journal of the European Mathematical Society},
     pages = {1687--1759},
     publisher = {mathdoc},
     volume = {17},
     number = {7},
     year = {2015},
     doi = {10.4171/jems/543},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/543/}
}
TY  - JOUR
AU  - Andrea R. Nahmod
AU  - Gigliola Staffilani
TI  - Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
JO  - Journal of the European Mathematical Society
PY  - 2015
SP  - 1687
EP  - 1759
VL  - 17
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/543/
DO  - 10.4171/jems/543
ID  - JEMS_2015_17_7_a5
ER  - 
%0 Journal Article
%A Andrea R. Nahmod
%A Gigliola Staffilani
%T Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
%J Journal of the European Mathematical Society
%D 2015
%P 1687-1759
%V 17
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/543/
%R 10.4171/jems/543
%F JEMS_2015_17_7_a5
Andrea R. Nahmod; Gigliola Staffilani. Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space. Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1687-1759. doi : 10.4171/jems/543. http://geodesic.mathdoc.fr/articles/10.4171/jems/543/

Cité par Sources :