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

Conlon, 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 &gt; 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 &gt; 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 -