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Math Colloquium
Russell Schwab
Mathematical Sciences, Carnegie Mellon University
Title: A Taste of Integro-Differential Equations- Recent Results and Future Challenges

Abstract: Integro-Differential equations, and more general nonlocal equations, often appear as natural objects which can provide more accurate or realistic views of models for which local equations offer only an approximation. We will introduce a large family of integro-differential equations and discuss some recent results for their analysis including: weak solutions, comparison results with measurable ingredients, regularity, and homogenization. A key focus is to present results which do not rely too heavily on Fourier Multipliers or Harmonic Analysis and especially are appropriate for treatment of fully nonlinear equations which are important for understanding nonlocal and nonlinear phenomena.

Date: Tuesday, December 6, 2011
Time: 4:30 pm
Location: Wean Hall 7218
Submitted by:  Fonseca
Note: Refreshments at 4:00 pm, Wean Hall 6220