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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) 		 
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
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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
Received: 14.08.2023
Revised: 14.08.2023
Accepted: 25.09.2023
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
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}
\crossref{https://doi.org/10.33048/smzh.2023.64.612}
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