Parabolic Lipschitz truncation for multi-phase problems: the degenerate case

Abstract

This article is devoted to exploring the Lipschitz truncation method for parabolic multi-phase problems. The method is based on Whitney decomposition and covering lemmas with a delicate comparison scheme of appropriate alternatives to distinguish phases, as introduced by the first and the second author in [24].

39 pages. Revised according to reviewer's comments. To appear in Advances in Calculus of Variations