Mon, 05 May 2014
17:00 -
18:00
L6
Frequency functions, monotonicity formulas, and the thin obstacle problem
Donatella Danielli-Garofalo
(Purdue University)
Abstract
Monotonicity formulas play a pervasive role in the study of variational inequalities and free boundary problems. In this talk we will describe a new approach to a classical problem, namely the thin obstacle (or Signorini) problem, based on monotonicity properties for a family of so-called frequency functions.