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JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

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

This article is cited 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

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.

UDC: 517.956



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