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On solvability of parabolic functional differential equations in Banach spaces (II)
A. M. Selitskiiab a Federal Research Center "Computer Science and Control",
Russian Academy of Sciences,
40 Vavilova St, 119333, Moscow, Russia
b RUDN University, 6 Miklukho-Maklay St, 117198, Moscow, Russia
Аннотация:
In this paper, a parabolic functional differential equation is considered in the spaces $C(0, T; H^s_p (Q))$ for $s$ close to $1$ and $p$ close to $2$. The transformations of the space argument are supposed to be bounded in the spaces $H^s_p (Q)$ with small smoothness exponent and $p$ close to $2$. The corresponding resolvent estimate of the elliptic part of the operator is obtained in order to show that it generates a strongly continuous semigroup.
Ключевые слова и фразы:
functional differential equations, Lipschitz domain, Banach spaces.
Поступила в редакцию: 05.09.2018 Исправленный вариант: 18.02.2020
Образец цитирования:
A. M. Selitskii, “On solvability of parabolic functional differential equations in Banach spaces (II)”, Eurasian Math. J., 11:2 (2020), 86–92
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj368 https://www.mathnet.ru/rus/emj/v11/i2/p86
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Страница аннотации: | 137 | PDF полного текста: | 68 | Список литературы: | 26 |
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