Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse-power potential-天津大学数学学院

Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

2019-03-12 00:00

Speaker: Noriyoshi Fukaya

unit:

Time: 2019-03-12 15:30-16:30

Venue: Room 208, Center for Applied Mathematics

starttime: 2019-03-12 15:30-16:30

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Theme：: Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

Time：: 2019-03-12 15:30-16:30

Venue：: Room 208, Center for Applied Mathematics

Speaker：: Noriyoshi Fukaya

Abstract

In this talk, we consider the uniqueness of ground states for stationary nonlinear Schrödinger equations with a focusing power-type nonlinearity and an attractive inverse-power potential. We prove that all ground states are positive up to phase shift, radial, and decreasing.
Moreover, we prove the uniqueness of positive radial solutions.

Seminars_raw

Seminars_raw

Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

Abstract