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Generic Regularity in Obstacle Problems - SIAM PDE Seminar

Offered By: Society for Industrial and Applied Mathematics via YouTube

Tags

Partial Differential Equations Courses Mathematical Analysis Courses Free Boundary Problems Courses

Course Description

Overview

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Explore a cutting-edge seminar on the analysis of partial differential equations, featuring renowned mathematician Alessio Figalli from ETH Zurich. Delve into the classical obstacle problem, examining the equilibrium position of an elastic membrane constrained by a fixed boundary and obstacle. Discover Figalli's recent breakthrough in solving Schaeffer's conjecture for dimensions n≤4, demonstrating that the singular set of the free boundary generically has codimension 3. Gain insights into Caffarelli's classical results on free boundary smoothness and understand the significance of this new finding in the field of PDE analysis. Moderated by Camillo De Lellis from IAS Princeton, this 72-minute talk offers a comprehensive overview of these groundbreaking results in obstacle problems and their implications for generic regularity.

Syllabus

Seminar In the Analysis and Methods of PDE (SIAM PDE): Alessio Figalli


Taught by

Society for Industrial and Applied Mathematics

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