S. V. Pikulin, “On estimate of size of localization zone of carrier of solution to a semilinear elliptic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, Issue 9/1(110),Pages <nobr>28

Mathematics

On estimate of size of localization zone of carrier of solution to a semilinear elliptic equation

S. V. Pikulin

The Dept. of Analytical and Numerical Methods, Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS, Moscow, 119333, Russian Federation

Abstract: In this paper an estimate of size of localization zone of carrier of solution to the Dirichlet problem for a semilinear elliptic equation with measurable coefficients when the constant which limits the boundary conditions grows is defined more exactly.

Keywords: free boundary, dead space, localization of carrier of solution, semilinear elliptic equation, Dirichlet problem, generalized solution.

UDC: 517.95

Received: 30.09.2013