Regularity of Free Boundaries in Obstacle Problems Lecture I
Offered By: Hausdorff Center for Mathematics via YouTube
Course Description
Overview
Explore the fascinating world of free boundary problems in this comprehensive lecture on the regularity of free boundaries in obstacle problems. Delve into the mathematical challenges of understanding free boundaries, which appear in various fields such as Physics, Geometry, Probability, Biology, and Finance. Learn about the Stefan problem and the obstacle problem, two classical examples in the study of free boundary problems. Discover the main known results, current research, and open problems in this field. Gain insights into the regularity theory of minimal surfaces, optimal regularity, and the regularity strategy. Examine proofs, blowups, monotonicity, and common properties of free boundaries. Understand the classification of blowups and their significance in the study of obstacle problems.
Syllabus
Introduction
The regularity theory of minimal surfaces
The regularity strategy
Obstacle problem
Optimal regularity
Proofs
Blowups
Monotonicity
Common Properties
Classification of blowups
Taught by
Hausdorff Center for Mathematics
Related Courses
The Kakeya Needle Problem for Rectifiable SetsJoint Mathematics Meetings via YouTube Bala Krishnamoorthy: Linear Programming in Geometric Measure Theory
Applied Algebraic Topology Network via YouTube Weighted Fourier Extension Estimates and Applications
International Mathematical Union via YouTube Endpoint Fourier Restriction and Unrectifiability
Hausdorff Center for Mathematics via YouTube Harmonic Analysis Techniques for -Almost- Minimizers
Hausdorff Center for Mathematics via YouTube