Recent Results on Allen-Cahn Equations and Free Boundary Problems

Dr. Jun-Cheng Qei, Professor of Mathematics at the University of British Columbia 

 

The Allen-Cahn equation arises in the mathematical study of phase transition. Despite it’s seemingly simple appearance, it has displayed very rich structure of solutions and is involved with deep mathematics. In this talk,I will discuss recent progress on De Giorgi type conjectures for Allen-Cahn equations and two free boundary problems.