Traces and embeddings of anisotropic function spaces

By M. Meyries, Mark Veraar. 2012

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In this paper we characterize the trace spaces of a class of weighted function spaces of intersection type with mixed regularities. To a large extent we can overcome the difficulty of mixed scales by employing a microscopic improvement in Sobolev and mixed derivative embeddings with fixed integrability. We apply the general results to prove maximal $$L^p$$Lp-$$L^q$$Lq-regularity for the linearized, fully inhomogeneous two-phase Stefan problem with Gibbs–Thomson correction.

Subfields: Applied Mathematics

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