Geodesic
Method of successive approximations of parabolic initial-boundary problem
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 2, pp. 77-83

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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, fundamental solution, method of successive approximations.
Mots-clés : parabolic equation 
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V. A. Terletsky; E. V. Tuchnolobova; N. Yu. Ulyanova. Method of successive approximations of parabolic initial-boundary problem. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 2, pp. 77-83. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_2_a7/