Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal Regularity with Weights for Parabolic Problems with
  Inhomogeneous Boundary Conditions   In this paper we establish weighted $L^{q}$-$L^{p}$-maximal regularity for
linear vector-valued parabolic initial-boundary value problems with
inhomogeneous boundary conditions of static type. The weights we consider are
power weights in time and in space, and yield flexibility in the optimal
regularity of the initial-boundary data and allow to avoid compatibility
conditions at the boundary. The novelty of the followed approach is the use of
weighted anisotropic mixed-norm Banach space-valued function spaces of Sobolev,
Bessel potential, Triebel-Lizorkin and Besov type, whose trace theory is also
subject of study.

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The categories of this paper are: chem-ph
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The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int