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
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.