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
Differential Equations in ActionUdacity Dynamical Modeling Methods for Systems Biology
Icahn School of Medicine at Mount Sinai via Coursera An Introduction to Functional Analysis
École Centrale Paris via Coursera Practical Numerical Methods with Python
George Washington University via Independent The Finite Element Method for Problems in Physics
University of Michigan via Coursera