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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 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

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

Full text: PDF file (140 kB)
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Bibliographic databases:
UDC: 517.955
MSC: 35K30

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. Ser. Sovrem. Mat. Pril. Temat. Obz., 145, VINITI, M., 2018, 110–113

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. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 145
\pages 110--113
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into284}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3824393}


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