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

초록

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 second authors in [B. Kim and J. Oh, Higher integrability for weak solutions to parabolic multi-phase equations, J. Differential Equations 409 2024, 223-298].

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