arXiv:1810.09749 Abstract | arXiv Analytics

arXiv:1810.09749 [math.AP]Abstract References Reviews Resources

Modulational stability of ground states to nonlinear Kirchhoff equations

Jianjun Zhang, Zhisu Liu, Marco Squassina

Published 2018-10-23Version 1

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].

Comments: 11

Categories: math.AP

Subjects: 35B35, 35Q51, 35Q40

Keywords: ground states, nonlinear kirchhoff equations, modulational stability, modulation stability estimate, kirchhoff term

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