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July/August 2014 Instability of ground states for a quasilinear Schrӧdinger equation
Mathieu Colin, Masahito Ohta
Differential Integral Equations 27(7/8): 613-624 (July/August 2014).

Abstract

We study a class of one parameter (denoted by $\kappa$) family of quasi-linear Schrӧdinger equations arising in the theory of superfluid film in plasma physics. Using variational techniques, we prove the orbital instability of solitary waves for small values of the parameter $\kappa$, which gives an answer to a question raised in [9].

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Mathieu Colin. Masahito Ohta. "Instability of ground states for a quasilinear Schrӧdinger equation." Differential Integral Equations 27 (7/8) 613 - 624, July/August 2014.

Information

Published: July/August 2014
First available in Project Euclid: 6 May 2014

zbMATH: 1340.35320
MathSciNet: MR3200755

Subjects:
Primary: 35B35, 35Q55

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 7/8 • July/August 2014
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