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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(1), Pages 8–13
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-8-13 (Mi isu343) 		 
Mathematics

Qualitative Properties of Mild Solutions of the Cauchy Problem

N. S. Kaluzhina

Voronezh State University
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-8-13
Abstract: In this paper we study the qualitative properties of a mild solution of the problem Cauchy problem for the heat equation. We prove that every mild Cauchy problem is a slowly varying at infinity function. The result is applied to study solutions of the Neumann problem for the heat equation.
Key words: Cauchy problem, slowly varying at infinity function, a mild solution of the Cauchy problem, Neumann problem for the heat equation.
Bibliographic databases:
Document Type: Article
UDC: 501.1
Language: Russian
Citation: N. S. Kaluzhina, “Qualitative Properties of Mild Solutions of the Cauchy Problem”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 8–13
Citation in format AMSBIB
\Bibitem{Kal13}
\by N.~S.~Kaluzhina
\paper Qualitative Properties of Mild Solutions of the Cauchy Problem
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(1)
\pages 8--13
\mathnet{http://mi.mathnet.ru/isu343}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-1-8-13}
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