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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, VMOx 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}
Linking options:
  • https://www.mathnet.ru/eng/faa4098
  • https://doi.org/10.4213/faa4098
  • https://www.mathnet.ru/eng/faa/v57/i2/p93
    • This publication is cited in the following 2 articles:
    1. D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Uraltseva, “A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I”, Vestnik St.Petersb. Univ.Math., 57:1 (2024), 1  crossref
    2. Darya E. Apushkinskaya, Alexander I. Nazarov, Dian K. Palagachev, Lubomira G. Softova, “Nonstationary Venttsel problems with discontinuous data”, Journal of Differential Equations, 375 (2023), 538  crossref  mathscinet  zmath
    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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    Abstract page:256
    Full-text PDF :52
    References:50
    First page:23
     
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