Boundary values

Saturday, May 30, 2015 - 3:30pm - 4:00pm
Mariana Smit Vega Garcia (Universität Duisburg-Essen)
We will describe the Signorini, or lower-dimensional obstacle problem, for a uniformly elliptic, divergence form operator L = div(A(x)nabla) with Lipschitz continuous coefficients. We will give an overview of this problem and discuss some recent developments, including the optimal regularity of the solution and the $C^{1,alpha}$ regularity of the regular part of the free boundary.
Saturday, June 2, 2012 - 2:00pm - 2:50pm
Jill Pipher (Brown University)
Saturday, June 2, 2012 - 11:30am - 12:00pm
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.
Friday, June 1, 2012 - 10:00am - 10:50am
Jill Pipher (Brown University)
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