The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: Optimal regularity in the Signorini problem with Lipschitz variable coefficients We study the interior Signorini, or lower-dimensional obstacle problem for a uniformly elliptic divergence form operator L = div(A(x) abla) with Lipschitz continuous coefficients. When the obstacle is zero, similarly to what happens in the Laplacian case, the variational solution has the optimal interior regularity C^{1,1/2}_{loc}. This is joint work with Nicola Garofalo. Mariana Smit Vega Garcia Purdue University Email:  msmitveg@math.purdue.edu Phone: 765-464-4928   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan