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arXiv · 1207.1044

Traces and embeddings of anisotropic function spaces

Martin Meyries·Mark Veraar
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Abstract

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 $L^p$-$L^q$-regularity for the linearized, fully inhomogeneous two-phase Stefan problem with Gibbs-Thomson correction.

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Martin Meyries, Mark Veraar. 2014-03-29. Traces and embeddings of anisotropic function spaces. https://arxiv.org/abs/1207.1044

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