Initial-boundary value problems for two-dimensional parabolic equations in Hörmander spaces

Authors

  • V. N. Los National Technical University of Ukraine ”Igor Sikorsky Kyiv Polytechnic Institute”, 37 Prospect Peremohy, Kyiv, 03056, Ukraine

DOI:

Keywords:

Parabolic initial-boundary value problem, Hörmander space, slowly varying function, isomorphism property, interpolation with a function parameter

Abstract

We investigate a general nonhomogeneous initial-boundary value problem for a two-dimensional parabolic equation in some anisotropic Hörmander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hörmander spaces.

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Published

2017-06-25

Issue

Vol. 23 No. 2 (2017)

Section

Articles

How to Cite

Los, V. N. “Initial-Boundary Value Problems for Two-Dimensional Parabolic Equations in Hörmander Spaces”. Methods of Functional Analysis and Topology, vol. 23, no. 2, June 2017, pp. 177-91, https://zen.imath.kiev.ua/index.php/mfat/article/view/662.