Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights

By M. Meyries, Roland Schnaubelt. 2012

88 citations recorded by the source corpus.

We investigate the properties of a class of weighted vector-valued $L_p$-spaces and the corresponding (an)isotropic Sobolev-Slobodetskii spaces. These spaces arise naturally in the context of maximal $L_p$-regularity for parabolic initial-boundary value problems. Our main tools are operators with a bounded $\calH^\infty$-calculus, interpolation theory, and operator sums.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/391c25937401f4c8d4ebce0c2c26f8fc64d1dd64

How researchers see this paper

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In Applied Mathematics

1. Mark Veraar
2. C. Gallarati
3. J. V. Neerven
4. Lutz Weis

In Mathematical Physics

1. Mark Veraar
2. C. Gallarati
3. J. V. Neerven
4. Lutz Weis

Citations in the corpus

• Maximal Regularity for Non-autonomous Equations with Measurable Dependence on Time (2014, background): “For more details and applications to evolution equations we refer to [39, 59, 67, 72, 73, 83].”