# 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

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topConlon, 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| < 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| < 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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