Article ID Journal Published Year Pages File Type
4613495 Journal of Differential Equations 2007 18 Pages PDF
Abstract

We investigate the regularity of a free boundary near contact points with a fixed boundary, with C1,1 boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C1 up to the fixed boundary. We will also construct some examples of irregular free boundaries.

Related Topics
Physical Sciences and Engineering Mathematics Analysis