Presentation
Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity
Joint Mathematics Meetings (JMM)
Document Type
Presentation
Presentation Date
1-6-2017
Disciplines
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.
Location
Atlanta, GA
Citation Information
Shijun Zheng. "Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity" Joint Mathematics Meetings (JMM) (2017) Available at: http://works.bepress.com/shijun_zheng/47/