Boundary problems for the second order elliptic equations with rough coefficients (10rit135)


(University of Missouri Columbia)

Carlos Kenig (University of Chicago)

Svitlana Mayboroda (University of Minnesota)

Jill Pipher (Brown University)


The Banff International Research Station will host the "Boundary problems for the second order elliptic equations with rough coefficients" workshop from April 18th to April 25th, 2010.

This workshop is concerned with the study of certain partial differential equations of ``elliptic type".
These problems naturally arise in various branches of physics, such as electrostatics, thermodynamics, and elasticity.
An example of an equation of elliptic type is Laplace's equation: a solution to this equation represents the steady state
of heat flow given a particular distribution of temperature on the surface of a solid body. This workshop is focused
on modeling the behavior of solutions to these equations when, for example, the solid body has a rough
surface. The problems therefore are very natural. Their study is useful when models of real problems introduce
errors which in turn create discontinous or rough boundaries, data, or equations.
This work will contribute to further progress in the aforementioned areas of science and engineering, and will enhance
graduate and postdoctoral training in the general field of analysis and partial differential equations.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnolog�a (CONACYT).