N. Yu. Selivanova, M. V. Shamolin, “Local solvability of some problem with free border”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, Issue 8(89),Pages <nobr>86

This article is cited in 1 paper

Mathematics

Local solvability of some problem with free border

N. Yu. Selivanova^a, M. V. Shamolin^b

^a Dept. of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, 117234, Russian Federation
^b Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119899, Russian Federation

Abstract: A certain single-phase problem with free border is studied. The local solvability of such problem is proved. The more general method investigated earlier is used in concrete event in this work.

Keywords: differential equations, local boundary problem, solvability.

UDC: 517.956.223

Received: 18.10.2011
Revised: 10.12.2011