Open AccessEstimates on the solution of an elliptic equation related to Brownian motion with drift (II)
Author(s) -
Joseph G. Conlon,
Peder A. Olsen
Publication year - 1997
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/231
Subject(s) - mathematics , mathematical analysis , brownian motion , motion (physics) , elliptic curve , classical mechanics , statistics , physics
In this paper we continue the study of the Dirichlet problem for an elliptic equation on a domain in R3 which was begun in [5]. For R > 0 let OR be the ball of radius R centered at the origin with boundary ?O R. The Dirichlet problem we are concerned with is the following:(-? - b(x).N) u(x) = f(x), x I O R,with zero boundary conditionsu(x) = 0, x I ?O R.
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