Title

Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity

Document Type

Presentation

Publication Date

1-6-2017

Abstract

We consider orbital stability for several dispersive type PDEs including the nonlinear fractional Schrödinger equation with singular and unbounded potentials. We show in some cases the instability by constructing counterexamples. This reports our recent joint works with Shihui Zhu, Nyla Basharat, Hichem Hajaiej and Yi Hu.

Sponsorship/Conference/Institution

Joint Mathematics Meetings (JMM)

Location

Atlanta, GA

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