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Global well‐posedness of a damped Schrödinger equation in two space dimensions
Author(s) -
Saanouni Tarek
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2804
Subject(s) - mathematics , space (punctuation) , initial value problem , nonlinear schrödinger equation , mathematical analysis , nonlinear system , exponential growth , energy (signal processing) , exponential function , schrödinger equation , physics , statistics , quantum mechanics , philosophy , linguistics
We investigate the initial value problem for a semilinear damped Schrödinger equation with exponential growth nonlinearity in two space dimensions. We obtain global well‐posedness in the energy space. Copyright © 2013 John Wiley & Sons, Ltd.