Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation

Document Type

Presentation

Presentation Date

11-5-2016

Abstract or Description

In this talk, we consider the nonlinear Schrödinger equation with rotation (also called Gross-Pitaevskii equations) in two and three dimensions, and give sharp conditions on the global well-posedness and blowup in the mass-critical case. Specifically, this condition is related to the ground state solution. We will also mention the blow up rate if time permits

Sponsorship/Conference/Institution

Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)

Location

Fort Myers, FL

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