[NOVA Math] Analysis Seminar

The Center of Mathematics and Applications (NOVA Math) promotes the Seminar of Analysis with the title: "Fully Nonlinear Free Transmission Problems: Mostly Regularity Theory". Edgard A. Pimentel (Centre for Mathematics of the University of Coimbra (CMUC) & Department of Mathematics of University of Coimbra) is the speaker.

Abstract:   Free transmission problems form a class of free boundary problems in which the solution–dependent discontinuity occurs at the level of the operator. Arising naturally in the modelling of heterogeneous diffusion and related processes, these problems present genuine mathematical difficulties, especially in the fully nonlinear setting. I will discuss recent progress on the existence of viscosity solutions and on their optimal regularity, both in the interior and up to the (fixed and free) boundary. I also plan to mention a few results on the development of numerical schemes tailored to this class of problems. Time permitting, I will conclude with a selection of open questions and possible directions for future research.

02 December 2025 (Tuesday), from 13:00 to 14:00, Building Hangar II, Room 3