A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical

Authors

  • V. N. Los National Technical University of Ukraine Igor Sikorsky Kyiv Polytechnic Institute, Prospect Peremohy 37, 03056, Kyiv-56, Ukraine

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.03

Keywords:

Parabolic problem, Hörmander space, slowly varying function, generalized solution, classical solution

Abstract

We obtain a new sufficient condition under which generalized solutions to a parabolic initial boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic Hörmander spaces.

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Published

2020-06-25

Issue

Vol. 26 No. 2 (2020)

Section

Articles

How to Cite

Los, V. N. “A Condition for Generalized Solutions of a Parabolic Problem for a Petrovskii System to Be Classical”. Methods of Functional Analysis and Topology, vol. 26, no. 2, June 2020, pp. 111-8, https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.03.