# Estimates on the solution of an elliptic equation related to Brownian motion with drift (II).

Joseph G. Conlon; Peder A. Olsen

Revista Matemática Iberoamericana (1997)

- Volume: 13, Issue: 3, page 567-711
- ISSN: 0213-2230

## Access Full Article

top## Abstract

top## How to cite

topConlon, Joseph G., and Olsen, Peder A.. "Estimates on the solution of an elliptic equation related to Brownian motion with drift (II).." Revista Matemática Iberoamericana 13.3 (1997): 567-711. <http://eudml.org/doc/39535>.

@article{Conlon1997,

abstract = {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 ΩR be the ball of radius R centered at the origin with boundary ∂Ω R. The Dirichlet problem we are concerned with is the following:(-Δ - b(x).∇) u(x) = f(x), x ∈ Ω R,with zero boundary conditionsu(x) = 0, x ∈ ∂Ω R.},

author = {Conlon, Joseph G., Olsen, Peder A.},

journal = {Revista Matemática Iberoamericana},

keywords = {Problema de Dirichlet; Ecuaciones diferenciales elípticas; Movimiento browniano; Condiciones de contorno; Funciones estimables; Resolución de ecuaciones; Métodos fisicomatemáticos; Laplace equation with drift; Morrey space; existence},

language = {eng},

number = {3},

pages = {567-711},

title = {Estimates on the solution of an elliptic equation related to Brownian motion with drift (II).},

url = {http://eudml.org/doc/39535},

volume = {13},

year = {1997},

}

TY - JOUR

AU - Conlon, Joseph G.

AU - Olsen, Peder A.

TI - Estimates on the solution of an elliptic equation related to Brownian motion with drift (II).

JO - Revista Matemática Iberoamericana

PY - 1997

VL - 13

IS - 3

SP - 567

EP - 711

AB - 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 ΩR be the ball of radius R centered at the origin with boundary ∂Ω R. The Dirichlet problem we are concerned with is the following:(-Δ - b(x).∇) u(x) = f(x), x ∈ Ω R,with zero boundary conditionsu(x) = 0, x ∈ ∂Ω R.

LA - eng

KW - Problema de Dirichlet; Ecuaciones diferenciales elípticas; Movimiento browniano; Condiciones de contorno; Funciones estimables; Resolución de ecuaciones; Métodos fisicomatemáticos; Laplace equation with drift; Morrey space; existence

UR - http://eudml.org/doc/39535

ER -