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

Joseph G. Conlon; Juan Redondo

Revista Matemática Iberoamericana (1995)

  • Volume: 11, Issue: 1, page 1-65
  • ISSN: 0213-2230

Abstract

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In this paper we are concerned with studying the Dirichlet problem for an elliptic equation on a domain in R3. For simplicity we shall assume that the domain is a ball ΩR of radius R. Thus:ΩR = {x ∈ R3 : |x| < R}.The equation we are concerned with is given by(-Δ - b(x).∇) u(x) = f(x),    x ∈ ΩR,with zero Dirichlet boundary conditions.

How to cite

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Conlon, Joseph G., and Redondo, Juan. "Estimates on the solution of an elliptic equation related to Brownian motion with drift.." Revista Matemática Iberoamericana 11.1 (1995): 1-65. <http://eudml.org/doc/39487>.

@article{Conlon1995,
abstract = {In this paper we are concerned with studying the Dirichlet problem for an elliptic equation on a domain in R3. For simplicity we shall assume that the domain is a ball ΩR of radius R. Thus:ΩR = \{x ∈ R3 : |x| &lt; R\}.The equation we are concerned with is given by(-Δ - b(x).∇) u(x) = f(x),    x ∈ ΩR,with zero Dirichlet boundary conditions.},
author = {Conlon, Joseph G., Redondo, Juan},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales elípticas; Movimiento browniano; Condiciones de contorno; Métodos fisicomatemáticos; Cameron-Martin formula},
language = {eng},
number = {1},
pages = {1-65},
title = {Estimates on the solution of an elliptic equation related to Brownian motion with drift.},
url = {http://eudml.org/doc/39487},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Conlon, Joseph G.
AU - Redondo, Juan
TI - Estimates on the solution of an elliptic equation related to Brownian motion with drift.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 1
SP - 1
EP - 65
AB - In this paper we are concerned with studying the Dirichlet problem for an elliptic equation on a domain in R3. For simplicity we shall assume that the domain is a ball ΩR of radius R. Thus:ΩR = {x ∈ R3 : |x| &lt; R}.The equation we are concerned with is given by(-Δ - b(x).∇) u(x) = f(x),    x ∈ ΩR,with zero Dirichlet boundary conditions.
LA - eng
KW - Ecuaciones diferenciales elípticas; Movimiento browniano; Condiciones de contorno; Métodos fisicomatemáticos; Cameron-Martin formula
UR - http://eudml.org/doc/39487
ER -

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