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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 496, Pages 40–43
DOI: https://doi.org/10.31857/S2686954321010033 (Mi danma151) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On stabilization of the Poisson integral and Tikhonov–Stieltjes means: two-sided estimate

V. N. Denisov

Lomonosov Moscow State University, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954321010033
Abstract: We establish two-sided estimates for the proximity, as $t\to\infty$, of the Poisson integral representing the solution of the Cauchy problem for the heat equation to modified Tikhonov–Stieltjes means of the initial function. Order-sharp two-sided estimates in some classes of initial functions are described.
Keywords: stabilization, heat equation, Cauchy problem.
Funding agency Grant number
Russian Science Foundation 19-11-00223
This work was supported by the Russian Science Foundation, project no. 19-11-00223.
Presented: E. I. Moiseev
Received: 27.11.2020
Revised: 29.12.2020
Accepted: 29.12.2020
English version:
Doklady Mathematics, 2021, Volume 103, Issue 1, Pages 32–34
DOI: https://doi.org/10.1134/S1064562421010038
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. N. Denisov, “On stabilization of the Poisson integral and Tikhonov–Stieltjes means: two-sided estimate”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021), 40–43; Dokl. Math., 103:1 (2021), 32–34
Citation in format AMSBIB
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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