About Green's function of a parabolic problem on a graph

Kulaev R. Ch.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.

Abstract:
The work is devoted to Green's function of the mixed boundary problem for equation of parabolic type on geometrical graph. Existence, continuity and positivity of Green's function are studied.

Keywords: boundary problem on a graph, Green's function, parabolic equation, geometrical graph

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