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 Cet article a éte moissonné depuis la source EMS Press

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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},
     year = {2015},
     volume = {17},
     number = {7},
     doi = {10.4171/jems/543},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/543/}
}
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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

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