Calculus of Variations and Geometric Measure Theory
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J. Zhang - Z. Liu - M. Squassina

Modulational stability of ground states to nonlinear Kirchhoff equations

created by squassina on 23 Oct 2018
modified on 26 Apr 2019


Accepted Paper

Inserted: 23 oct 2018
Last Updated: 26 apr 2019

Year: 2018


We investigate the stability of ground states to a nonlinear focusing Schr\"odinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein {\it SIAM J. Math. Anal.}, 16(1985),472-491.

Keywords: Kirchhoff equations, ground state, modulation stability


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