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 Tr. Mat. Inst. Steklova, 2008, Volume 261, Pages 97–100 (Mi tm742)

Stabilization of Solution to the Cauchy Problem for a Parabolic Equation with Lower Order Coefficients and an Exponentially Growing Initial Function

V. N. Denisov

M. V. Lomonosov Moscow State University

Abstract: For the coefficients of lower order terms of a second-order parabolic equation, we obtain sharp sufficient conditions under which the solution of the Cauchy problem stabilizes to zero uniformly in $x$ on each compact set $K$ in $\mathbb R^N$ for any exponentially growing initial function.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2008, 261, 94–97

Bibliographic databases:

UDC: 517.956.4

Citation: V. N. Denisov, “Stabilization of Solution to the Cauchy Problem for a Parabolic Equation with Lower Order Coefficients and an Exponentially Growing Initial Function”, Differential equations and dynamical systems, Collected papers, Tr. Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 97–100; Proc. Steklov Inst. Math., 261 (2008), 94–97

Citation in format AMSBIB
\Bibitem{Den08} \by V.~N.~Denisov \paper Stabilization of Solution to the Cauchy Problem for a~Parabolic Equation with Lower Order Coefficients and an Exponentially Growing Initial Function \inbook Differential equations and dynamical systems \bookinfo Collected papers \serial Tr. Mat. Inst. Steklova \yr 2008 \vol 261 \pages 97--100 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm742} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2489699} \zmath{https://zbmath.org/?q=an:1235.35036} \elib{http://elibrary.ru/item.asp?id=11032689} \transl \jour Proc. Steklov Inst. Math. \yr 2008 \vol 261 \pages 94--97 \crossref{https://doi.org/10.1134/S0081543808020089} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000262227900008} \elib{http://elibrary.ru/item.asp?id=13594910} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-48849108014} 

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