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Presentation
Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation
Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)
  • Yi Hu, Georgia Southern University
  • Nyla Basharat, Georgia Southern University
  • Shijun Zheng, Georgia Southern University
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

Location
Fort Myers, FL
Citation Information
Yi Hu, Nyla Basharat and Shijun Zheng. "Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation" Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE) (2016)
Available at: http://works.bepress.com/yi_hu/20/