A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical
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Дата
2020
Автори
Науковий керівник
Назва журналу
Номер ISSN
Назва тому
Видавець
Institute of Mathematics NAS of Ukraine
Анотація
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.
Опис
Ключові слова
parabolic problem, Hörmander space, slowly varying function, generalized solution, classical solution
Бібліографічний опис
Los, V. A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical / Valerii Los // Methods of Functional Analysis and Topology. – 2020. – Vol. 26, No. 2. – Pp. 111–118.