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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 510, Pages 13–17
DOI: https://doi.org/10.31857/S2686954322600707 (Mi danma373) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Nonstationary venttsel problem with $VMO_x$ leading coefficients

D. E. Apushkinskayaab, A. I. Nazarovac, D. K. Palagachevd, L. G. Softovae

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Peoples' Friendship University of Russia, Moscow, Russia
c Saint Petersburg State University, St. Petersburg, Russia
d Politecnico di Bari, Bari, Italy
e University of Salerno, Fisciano, Italy
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DOI: https://doi.org/10.31857/S2686954322600707
Abstract: We obtain some new results on strong solvability in the Sobolev spaces of the linear Venttsel initial-boundary value problems to parabolic equations with discontinuous leading coefficients.
Keywords: linear second-order parabolic equations, Venttsel problem, class $VMO_x$, a priori estimates, solvability, uniqueness.
Funding agency Grant number
Russian Science Foundation 22-21-00027
The research of Apushkinskaya and Nazarov was supported by the Russian Science Foundation, project no. 22-21-00027, and was performed at the St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences.
Presented: S. V. Kislyakov
Received: 30.11.2022
Revised: 21.02.2023
Accepted: 24.02.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue 2, Pages 97–100
DOI: https://doi.org/10.1134/S1064562423700679
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova, “Nonstationary venttsel problem with $VMO_x$ leading coefficients”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023), 13–17; Dokl. Math., 107:2 (2023), 97–100
Citation in format AMSBIB
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\by D.~E.~Apushkinskaya, A.~I.~Nazarov, D.~K.~Palagachev, L.~G.~Softova
\paper Nonstationary venttsel problem with $VMO_x$ leading coefficients
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 510
\pages 13--17
\mathnet{http://mi.mathnet.ru/danma373}
\crossref{https://doi.org/10.31857/S2686954322600707}
\elib{https://elibrary.ru/item.asp?id=53986705}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 2
\pages 97--100
\crossref{https://doi.org/10.1134/S1064562423700679}
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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