Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

Dr. Sagun Chanillo
Affiliation : Rutgers University

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall - I, Dept of Mathematics

 

Time

:

4.00 pm

 

Date  

:

December 26,2007 (Wednesday)

Title

:

Regularity of the Solutions and the Free Boundary in the Composite Membrane Problem
Abstract : The composite membrane question is to build a body of prescribed shape, and ofprescribed mass, with materials of varying density so as to minimize the first Dirichleteigenvalue. It naturally leads to a free boundary problem. The regularity of the freeboundary is connected with monotonicity formulae, that make their appearance in severalareas of Geometry: minimal surfaces, Poincare conjecture and harmonic maps to name afew. We will present such a regularity theory. This is joint work
with Carlos Kenig.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in