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Regularity of interfaces for a Pucci type segregation problem

Description:  In this talk we will start giving a brief review about a segregation model with nonlinear diffusion that evolve to a free boundary problem as a motivation for our problem. Then we will present our latest results for the regularity of the limit solution as well as the regularity of the free boundary. Our results revisit the regularity theory introduced by Luis Caffarelli and generalized for the nonlinear setting by Pei-Yong Wang for a two-phase free boundary problem, namely that flat free boundaries are $C^{1,\alpha}$ . This is a joint work with Luis Caffarelli, Stefania Patrizi and Monica Torres.
Date:  2017-11-17
Start Time:   14:30
Speaker:  Verónica Quítalo (CMUC, Univ. Coimbra)