Speaker: Dr. Edgard Pimentel, University of Coimbra
Title: “Beyond convexity: regularity theory for fully nonlinear equations and free boundary problems”
Abstract: Convexity is a cornerstone of the regularity theory for fully nonlinear elliptic equations. It is also foundational to much of the modern analysis of free boundary problems governed by nonlinear operators. Nevertheless, many natural models fall outside the convex framework. This talk presents recent strategies that circumvent the lack of convexity in certain classes of PDE and free boundary problems. Rather than focusing on the scope of these methods, the discussion focuses on situations in which convexity and the structure it provides remain critical. The talk concludes by outlining the limits of current theory and probing new directions of research.

The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending.

This seminar will be held virtually. 

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