Campuses:

The elliptic Dirichlet problem with BMO boundary data

Saturday, June 2, 2012 - 11:30am - 12:00pm
Keller 3-180
Consider the Dirichlet problem in a Lipschitz domain in the plane.
Suppose that the boundary data is in BMO. I will show that, if the
coefficients have small imaginary part and are independent of one of
the coordinates, then solutions to the Dirichlet problem satisfy a
Carleson-measure condition.
MSC Code: 
35J67