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Course Descriptions

16:640:511 - Selected Topics in Analysis

Denis Kriventsov

Subtitle:

Free Boundary Problems

Text:

 None required

Prerequisites:

Real Analysis (graduate), Partial Differential Equations (recommended)

Description:

This course will serve as an introduction to the modern theory of free boundary problems, with an emphasis on the regularity of the interface. We will discuss the traditional Bernoulli and obstacle-type problems, as well as thin or fractional variants and some applications to shape optimization. We will also highlight connections to geometric measure theory and minimal surfaces, especially in relation to the structure of singularities.

Schedule of Sections:

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530