Instability of bound states for abstract nonlinear Schrödinger equations

Abstract

We study the instability of bound states for abstract nonlinear Schrödinger equations. We prove a new instability result for a borderline case between stability and instability. We also reprove some known results in a unified way.

25 pages. Revisions are made mainly in Sections 1 and 8. Theorems 3-5 are renamed as Corollaries 2-4

References in corpus (2)

• Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrödinger equations
• Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations

Cited by in corpus (1)

• Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrödinger equations