Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 145, Pages 110–113 (Mi into284)  
On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations

P. V. Denisov

Moscow State Pedagogical University
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Abstract: This paper is devoted to the study of asymptotic behavior as $t\to\infty$ of mean (in time) values of solutions to the Cauchy problem for parabolic equations.
Keywords: asymptotics, Cauchy problem, parabolic equation, Poisson integral.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 4, Pages 524–527
DOI: https://doi.org/10.1007/s10958-020-04708-1
Bibliographic databases:
Document Type: Article
UDC: 517.955
MSC: 35K30
Language: Russian
Citation: P. V. Denisov, “On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 145, VINITI, M., 2018, 110–113; Journal of Mathematical Sciences, 245:4 (2020), 524–527
Citation in format AMSBIB
\Bibitem{Den18}
\by P.~V.~Denisov
\paper On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 145
\pages 110--113
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into284}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3824393}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 4
\pages 524--527
\crossref{https://doi.org/10.1007/s10958-020-04708-1}
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