N. D. Ivanova, V. E. Fedorov, “Time nonlocal boundary value problem for a linearized phase field equations system”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2015, Volume 7, Issue 3,Pages <nobr>10

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Mathematics

Time nonlocal boundary value problem for a linearized phase field equations system

N. D. Ivanova, V. E. Fedorov

South Ural State University

Abstract: A boundary value problem with nonlocal time conditions is analyzed for a linearized quasi-steady system of phase field equations. Necessary and sufficient conditions are obtained for the existence and uniqueness of classical and generalized solutions.

Keywords: nonlocal problem; boundary value problem; system of phase field equations; classical solution; generalized solution.

UDC: 517.95

Received: 06.04.2015