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On De Giorgi Conjecture and Beyond

Speaker: Jun-Cheng Wei

Date: Thu, Sep 29, 2016

Location: PIMS, University of Manitoba

Conference: PIMS-UManitoba Distinguished Lecture

Subject: Mathematics

Class: Scientific

Abstract:

Classifying solutions is one of central themes in nonlinear partial differential equations. This is the content of various Liouville type theorems and more recently De Giorgi type conjectures. I will report recent progress towards De Giorgi's conjecture for Allen-Cahn equation and free boundary problems, and related issues in nonlinear Schroedinger equations.