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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 97–100 (Mi tm742)  
This article is cited in 1 scientific paper (total in 1 paper)

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
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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.
Received in April 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 94–97
DOI: https://doi.org/10.1134/S0081543808020089
Bibliographic databases:
UDC: 517.956.4
Language: Russian
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, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 97–100; Proc. Steklov Inst. Math., 261 (2008), 94–97
Citation in format AMSBIB
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\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
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\pages 97--100
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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