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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 2, Pages 93–99
DOI: https://doi.org/10.4213/faa4098 (Mi faa4098) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

The quasilinear parabolic Venttsel' problem with discontinuous 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
b Peoples Friendship University of Russia
c Saint Petersburg State University
d Politecnico di Bari
e Università degli Studi di Salerno (UNISA), Salerno, Italy
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DOI: https://doi.org/10.4213/faa4098
Abstract: New results on the strong solvability in Sobolev spaces of the quasilinear Venttsel' problem for parabolic equations with discontinuous leading coefficients are obtained.
Keywords: quasilinear second-order parabolic equation, Venttsel' problem, $VMO_x$ class, a priori estimate, existence theorem.
Funding agency Grant number
Russian Science Foundation 22-21-00027
Received: 11.02.2023
Revised: 11.02.2023
Accepted: 28.02.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 2, Pages 158–163
DOI: https://doi.org/10.1134/S0016266323020065
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova, “The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients”, Funktsional. Anal. i Prilozhen., 57:2 (2023), 93–99; Funct. Anal. Appl., 57:2 (2023), 158–163
Citation in format AMSBIB
\Bibitem{ApuNazPal23}
\by D.~E.~Apushkinskaya, A.~I.~Nazarov, D.~K.~Palagachev, L.~G.~Softova
\paper The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 2
\pages 93--99
\mathnet{http://mi.mathnet.ru/faa4098}
\crossref{https://doi.org/10.4213/faa4098}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 2
\pages 158--163
\crossref{https://doi.org/10.1134/S0016266323020065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180821483}
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  • https://www.mathnet.ru/eng/faa/v57/i2/p93
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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