Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Author(s) -
Mihai Mariş
Publication year - 2010
Publication title -
journées équations aux dérivées partielles
Language(s) - English
Resource type - Journals
eISSN - 2118-9366
pISSN - 0752-0360
DOI - 10.5802/jedp.71
Subject(s) - infinity , nonlinear system , traveling wave , mathematical proof , nonlinear schrödinger equation , stability (learning theory) , mathematics , mathematical analysis , schrödinger's cat , mathematical physics , physics , schrödinger equation , computer science , quantum mechanics , geometry , machine learning
This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
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