Mathematical Sciences: Faculty Presentations (1991-2022)

Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity

Document Type

Presentation

Presentation Date

1-6-2017

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

Abstract or Description

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

Link to Full Text

Share

COinS