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ISSN : 1226-0657

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Vol.25 No.2

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ON SOME PROPERTIES OF BARRIERS AT INFINITY FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2018, v.25 no.2, pp.59-71
https://doi.org/10.7468/jksmeb.2018.25.2.59
Cho, Sungwon
Cho,, S. (2018). ON SOME PROPERTIES OF BARRIERS AT INFINITY FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(2), 59-71, https://doi.org/10.7468/jksmeb.2018.25.2.59

Abstract

We consider the boundary value problem with a Dirichlet condition for a second order linear uniformly elliptic operator in a non-divergence form. We study some properties of a barrier at infinity which was introduced by Meyers and Serrin to investigate a solution in an exterior domains. Also, we construct a modified barrier for more general domain than an exterior domain.

keywords
second order linear uniformly elliptic operator, Dirichlet boundary value problems, unbounded domain, barrier at infinity

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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