Global well-posedness and scattering of a 2D Schrödinger equation with exponential growth
Saanouni, Tarek
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 441-462 / Harvested from Project Euclid
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We investigate the initial value problem for a semi-linear Schrödinger equation with exponential-growth nonlinearity. We establish global well-posedness and scattering in the energy space.
Publié le : 2010-08-15
Classification:  Nonlinear Schrödinger equation,  well-posedness,  Moser-Trudinger inequality,  scattering,  35-xx,  35Q55,  35B60,  35B33,  37K07 
@article{1284570731,
     author = {Saanouni, Tarek},
     title = {Global well-posedness and scattering of a 2D Schr\"odinger equation with exponential growth},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 441-462},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1284570731}
}

Saanouni, Tarek. Global well-posedness and scattering of a 2D Schrödinger equation with exponential growth. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  441-462. http://gdmltest.u-ga.fr/item/1284570731/