November 13, 2013
4:10PM
-
5:05PM
MW 154
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2013-11-13 16:10:00
2013-11-13 17:05:00
New Developments in the Thin Obstacle Problem with Lipschitz Coefficients
Speaker: Mariana Smit Vega Garcia, Purdue UniversityAbstract: 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
MW 154
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2013-11-13 16:10:00
2013-11-13 17:05:00
New Developments in the Thin Obstacle Problem with Lipschitz Coefficients
Speaker: Mariana Smit Vega Garcia, Purdue UniversityAbstract: 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
MW 154
America/New_York
public
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
