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Dec 9, 2020

Regularity of transition layers in Allen-Cahn equation

Kelei Wang, Wuhan University

 

Abstract:

In this talk I will survey the regularity theory of transition layers of solutions to singularly perturbed Allen-Cahn equation, from zeroth order regularity to second order one. Some applications of this regularity theory will also be discussed, including De Giorgi conjecture, classification of finite Morse index solutions and construction of minimal hypersurfaces by Allen-Cahn approximation.

 

Slides for the talk (click)

Recorded video for the talk (click)

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