Free Boundary Pointwise Estimates for the Obstacle Problem
Presenter
March 10, 2011
Keywords:
- minimization of functionals
- applied PDE
- partial differential equations
- regularity
- pointwise regularity
- obstacle problem
- Dini coefficinets
MSC:
- 35R35
- 35R37
- 35-xx
- 35Qxx
- 47A52
Abstract
We will present some results about pointwise regularity of the free boundary for the obstacle problem. This can be in particular applied when the coefficients of the problem are Dini. The results cover both regular and singular points of the free boundary. We will also present generalizations in the case of the parabolic obstacle problem.