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New Developments in the Thin Obstacle Problem with Lipschitz Coefficients

Mariana Smit Vega Garcia, Purdue University
November 13, 2013
4:10 pm - 5:05 pm
MW 154

Speaker:  Mariana Smit Vega Garcia, Purdue University

Abstract: We will describe the lower-dimensional obstacle problem for a uniformly elliptic, divergence form operator L=div(A(x)∇) with Lipschitz continuous coefficients and discuss the optimal regularity of the solution. Our main result states that, similarly to what happens when L=Δ, the variational solution has the optimal interior regularity. We achieve this by proving some new monotonicity formulas for an appropriate generalization of Almgren's frequency functional.

Seminar Website:  http://people.mbi.ohio-state.edu/lam.184/pdeseminar/pdeseminar2012.html

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Seminar - PDE