Stability and instability results for standing waves of quasi-linear Schrodinger equations

Marco Squassina, M. Colin, L. Jeanjean

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

75 Citazioni (Scopus)

Abstract

We study a class of quasi-linear Schrodinger equations arising in the theory ¨ of superfluid film in plasma physics. Using gauge transforms and a derivation process we solve, under some regularity assumptions, the Cauchy problem. Then, by means of variational methods, we study the existence, the orbital stability and instability of standing waves which minimize some associated energy.
Lingua originaleEnglish
pagine (da-a)1353-1385
Numero di pagine33
RivistaNonlinearity
Volume23
Stato di pubblicazionePubblicato - 2010

Keywords

  • quasilinear NLS

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