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.

Colin, M., Jeanjean, L., Squassina, M., Stability and instability results for standing waves of quasi-linear Schrodinger equations, <<NONLINEARITY>>, 2010; 23 (N/A): 1353-1385 [http://hdl.handle.net/10807/89959]

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

Squassina, Marco
Ultimo
2010

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.
Inglese
Colin, M., Jeanjean, L., Squassina, M., Stability and instability results for standing waves of quasi-linear Schrodinger equations, <<NONLINEARITY>>, 2010; 23 (N/A): 1353-1385 [http://hdl.handle.net/10807/89959]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/89959
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 85
social impact