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arXiv · 1610.06862

General parabolic initial-boundary value problems in Hörmander spaces

V. M. Los·V. A. Mikhailets·A. A. Murach
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Abstract

We investigate a general nonhomogeneous parabolic initial-boundary value problem in some anisotropic Hörmander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hörmander spaces. As an application of this result, we establish a theorem on the local increase in regularity of solutions to the problem.

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V. M. Los, V. A. Mikhailets, A. A. Murach. 2016-10-21. General parabolic initial-boundary value problems in Hörmander spaces. https://arxiv.org/abs/1610.06862

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