Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity

Presenters/Authors

Shijun Zheng, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

1-6-2017

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

Recommended Citation

Zheng, Shijun. 2017. "Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity." Department of Mathematical Sciences Faculty Presentations. Presentation 429.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/429