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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 3–11
DOI: https://doi.org/10.15393/j3.art.2018.5470 (Mi pa239) 		 
On the heat integral identity for unbounded functions

A. Biryuk, A. Svidlov, E. Silchenko

Kuban State University, 149 Stavropolskaya str., Krasnodar 350040, Russia
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DOI: https://doi.org/10.15393/j3.art.2018.5470
Abstract: The well known heat integral identity in an unbounded strip is extended to a class of unbounded functions both at $x$ near infinity and $t$ near zero. Continuity of derivatives are relaxed to differentiability in the $L^1_{loc}$-Sobolev sense.
Keywords: heat operator, heat kernel.
Funding agency Grant number
Dynasty Foundation
Ministry of Education and Science of the Russian Federation 8.2321.2017/PCh
This work was supported by the Dynasty Foundation and the Ministry of Education and Science of the Russian Federation (project 8.2321.2017/PCh).
Received: 14.06.2018
Accepted: 21.08.2018
Bibliographic databases:
Document Type: Article
UDC: 517.951
MSC: 35K08
Language: English
Citation: A. Biryuk, A. Svidlov, E. Silchenko, “On the heat integral identity for unbounded functions”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 3–11
Citation in format AMSBIB
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\by A.~Biryuk, A.~Svidlov, E.~Silchenko
\paper On the heat integral identity for unbounded functions
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\pages 3--11
\issueinfo special issue
\mathnet{http://mi.mathnet.ru/pa239}
\crossref{https://doi.org/10.15393/j3.art.2018.5470}
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\elib{https://elibrary.ru/item.asp?id=35688770}
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