Diff. Geom, Math. Phys., PDE Seminar: Mingfeng Zhao

  • Date: 10/28/2014
  • Time: 15:30
Mingfeng Zhao

University of British Columbia


Traveling waves involving fractional Laplacians


In this talk, we will discuss the existence of the traveling wave solution for the Allen-Cahn equation involving the fractional Laplacians. Based on the existence of the standing waves for the balanced Allen-Cahn equation, we will use the continuity method to obtain the existence of the traveling waves for unbalanced Allen-Cahn equation. The key ingredient is the the bound of the traveling speed in terms of the potential. Some open questions will be discussed.

Other Information: 

Location: ESB 2012