Existence and decay of solutions to a semilinear Schrödinger equation with magnetic field
SHIRAI, Shin-ichi
Hokkaido Math. J., Tome 37 (2008) no. 4, p. 241-273 / Harvested from Project Euclid
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In this paper we study the decay property of solutions of a semilinear Schrödinger equation, $-(∇ - iA)^{2}u+(V-E)u=Q|u|^{p-2}u$, on $\mathbb R^{n}$, where $n \geq 2$ and $2

Publié le : 2008-05-15
Classification:  Gaussian decay of stationary solutions,  nonlinear Schr\"{o}dinger equation,  magnetic field,  35J60,  35B40,  35J10 
@article{1253539554,
     author = {SHIRAI, Shin-ichi},
     title = {Existence and decay of solutions to a semilinear Schr\"odinger equation with magnetic field},
     journal = {Hokkaido Math. J.},
     volume = {37},
     number = {4},
     year = {2008},
     pages = { 241-273},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1253539554}
}

SHIRAI, Shin-ichi. Existence and decay of solutions to a semilinear Schrödinger equation with magnetic field. Hokkaido Math. J., Tome 37 (2008) no. 4, pp.  241-273. http://gdmltest.u-ga.fr/item/1253539554/