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.
Key words: Parabolic problem, Hörmander space, slowly varying function, generalized solution, classical solution.
Full Text
Article Information
| Title | A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 111-118 |
| DOI | 10.31392/MFAT-npu26_2.2020.03 |
| MathSciNet |
MR4127608 |
| Milestones | Received 18.05.2020 |
| Copyright | The Author(s) 2020 (CC BY-SA) |
Authors Information
Valerii Los
National Technical University of Ukraine Igor Sikorsky Kyiv Polytechnic Institute, Prospect Peremohy 37, 03056, Kyiv-56, Ukraine
Citation Example
Valerii Los, A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical, Methods Funct. Anal. Topology 26
(2020), no. 2, 111-118.
BibTex
@article {MFAT1343,
AUTHOR = {Valerii Los},
TITLE = {A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {2},
PAGES = {111-118},
ISSN = {1029-3531},
MRNUMBER = {MR4127608},
DOI = {10.31392/MFAT-npu26_2.2020.03},
URL = {http://mfat.imath.kiev.ua/article/?id=1343},
}
