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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 6, Pages 1263–1278
DOI: https://doi.org/10.33048/smzh.2023.64.612 (Mi smj7829) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Maximum estimates for solutions to elliptic and parabolic equations on a book-type stratified set

F. D. Mironenkoab

a Saint Petersburg State University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (392 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2023.64.612
Abstract: Studying PDEs on the sets of complicated structure and, in particular, stratified sets has been gaining popularity since recently. This article establishes some local Aleksandrov–Bakelman–Krylov type maximum estimates for solutions to linear elliptic and parabolic second-order equations on a book-type stratified set.
Keywords: stratified set, maximum principle, elliptic operator, parabolic operator.
Funding agency Grant number
Russian Science Foundation 22-21-00027
Supported by the Russian Science Foundation (Grant no. 22–21–00027).
Received: 14.08.2023
Revised: 14.08.2023
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 6, Pages 1385–1398
DOI: https://doi.org/10.1134/S0037446623060125
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: F. D. Mironenko, “Maximum estimates for solutions to elliptic and parabolic equations on a book-type stratified set”, Sibirsk. Mat. Zh., 64:6 (2023), 1263–1278; Siberian Math. J., 64:6 (2023), 1385–1398
Citation in format AMSBIB
\Bibitem{Mir23}
\by F.~D.~Mironenko
\paper Maximum estimates for solutions to elliptic and parabolic equations on a~book-type stratified set
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 6
\pages 1263--1278
\mathnet{http://mi.mathnet.ru/smj7829}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 6
\pages 1385--1398
\crossref{https://doi.org/10.1134/S0037446623060125}
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    Citing articles in Google Scholar: Russian citations, English citations
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