Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Thursday, February 24, 2011 - 07:00
Location: 
Kidder 350

Speaker Info

Institution: 
University of Texas
Abstract: 

Integro-differential operators arise naturally in many models
involving long-range diffusive interaction. In quasi-geostrophic
flows such operators appear in boundary conditions describing the
Ekman layer. Other examples include the Dirichlet to Neumann mapping
for conductivity problems and instantaneous generators for jump Levy
processes. A prototypical operator is the square root of the
Laplacian.

We will examine models containing these operators and survey recent
mathematical results related to questions of existence, uniqueness,
and regularity. In addition we will discuss ongoing work aimed at
understanding gradient dependent integro-differential operators
including the infinity fractional Laplacian.