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

Autores: Joseph G. Conlon, P. A. Olsen
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 13, Nº 3, 1997, págs. 567-711
Idioma: inglés
DOI: 10.4171/rmi/231
Títulos paralelos:
- Estimación de la solución de una ecuación elíptica referente al movimiento browniano con arrastre (II).
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Resumen
- 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).Ñ) u(x) = f(x), x Î O R, with zero boundary conditions u(x) = 0, x Î ?O R.