Article ID Journal Published Year Pages File Type
4624282 Journal of Mathematical Analysis and Applications 2006 8 Pages PDF
Abstract

In this paper, following the method in [S. Solimini, Simplified excision techniques for free discontinuity problems in several variables, J. Funct. Anal. 151 (1997) 1–34], we prove a regularity of the function in minimizer for free discontinuity problem. Namely, we prove that the function is globally Lipschitz continuous out of a small neighborhood of the singular set.

Related Topics
Physical Sciences and Engineering Mathematics Analysis