Stability of standing waves for NLS-log equation with $\delta$-interaction

Abstract

We study analytically the orbital stability of the standing waves with a peak-Gausson profile for a nonlinear logarithmic Schrödinger equation with $\delta$-interaction (attractive and repulsive). A major difficulty is to compute the number of negative eigenvalues of the linearized operator around the standing wave. This is overcome by the perturbation method, the continuation arguments, and the theory of extensions of symmetric operators.

accepted in NoDEA

References in corpus (2)

• Variational properties and orbital stability of standing waves for NLS equation on a star graph
• Stability and symmetry-breaking bifurcation for the ground states of a NLS with a ${\delta }^{\prime }$ interaction

Cited by in corpus (4)

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• On the dynamical nature of nonlinear coupling of logarithmic quantum wave equation, Everett-Hirschman entropy and temperature
• Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity
• Minimizers of mass-constrained functionals involving a nonattractive point interaction