The elliptic Dirichlet problem with BMO boundary data
June 2, 2012
Keywords:
- Boundary values; elliptic equations
MSC:
- 35J67
Abstract
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.