A Brief Overview on the Parabolic Obstacle-type Problem
Presenter
January 13, 2011
Keywords:
- applied PDE
- partial differential equations
- boundary layers and boundary conditions
- models of superconductance
- obstacle problem
- parabolic PDE
MSC:
- 35R35
- 35Qxx
- 35R37
- 35-xx
- 92C37
- 92C35
- 92Cxx
- 92-xx
- 35Q92
- 82D55
Abstract
In this talk we present a short survey on the parabolic obstacle-type problem including the lines of proof of the regularity of the solution and of the free boundary. In addition we discuss the possible application of our results for some phenomena in cell biology and in superconductivity.