On the singular set of the parabolic obstacle problem

[摘要] This paper is devoted to regularity results and geometric properties of the singular set of the parabolic obstacle problem with variable right-hand side. Making use of a monotonicity formula for singular points, we prove the uniqueness of blow-up limits at singular points. These results apply to parabolic obstacle problem with variable coefficients. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] parabolic obstacle problem;free boundary;singular points;singular set;monotonicity formula