V. A. Terletsky, E. V. Tuchnolobova, N. Yu. Ulyanova, “Method of successive approximations of parabolic initial-boundary problem”, Bulletin of Irkutsk State University. Series Mathematics, 6:2 (2013), 77

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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 2, Pages 77–83 (Mi iigum18)

This article is cited in 1 scientific paper (total in 1 paper)

Method of successive approximations of parabolic initial-boundary problem

V. A. Terletsky, E. V. Tuchnolobova, N. Yu. Ulyanova

Irkutsk State University, 1, K. Marks St., Irkutsk, 664000

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Abstract: The existence and uniqueness of generalized solution of an initial-boundary problem of parabolic equation with discontinuous enterance data with respect to independent variables and nonlinear right part of equation with respect to spacial variables is received by method of successive approximations.

Keywords: initial-boundary problem, parabolic equation, fundamental solution, method of successive approximations.

Document Type: Article

UDC: 517.956

Language: Russian

Citation: V. A. Terletsky, E. V. Tuchnolobova, N. Yu. Ulyanova, “Method of successive approximations of parabolic initial-boundary problem”, Bulletin of Irkutsk State University. Series Mathematics, 6:2 (2013), 77–83

Citation in format AMSBIB

\Bibitem{TerTucUly13}

\by V.~A.~Terletsky, E.~V.~Tuchnolobova, N.~Yu.~Ulyanova

\paper Method of successive approximations of parabolic initial-boundary problem

\jour Bulletin of Irkutsk State University. Series Mathematics

\yr 2013

\vol 6

\issue 2

\pages 77--83

\mathnet{http://mi.mathnet.ru/iigum18}

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