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

R. Ch. Kulaev

South Mathematical Institute of VSC RAS, Russia, Vladikavkaz

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.

Key words: boundary problem on a graph, Green's function, parabolic equation, geometrical graph.

UDC: 517.956

Received: 06.03.2012