ON SOME PROPERTIES OF BARRIERS AT INFINITY FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS
ON SOME PROPERTIES OF BARRIERS AT INFINITY FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS
한국수학교육학회지시리즈B:순수및응용수학 / 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
(Department of Mathematics Education, Gwangju National University of Education)
Cho, Sungwon.
(2018). ON SOME PROPERTIES OF BARRIERS AT INFINITY FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS. 한국수학교육학회지시리즈B:순수및응용수학, 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
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second order linear uniformly elliptic operator,
Dirichlet boundary value problems,
unbounded domain,
barrier at infinity