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

• Autores: J. Redondo, Joseph G. Conlon
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 11, Nº 1, 1995, págs. 1-66
• Idioma: inglés
• DOI: 10.4171/rmi/165
• Títulos paralelos:
  • Estimación de la solución de una ecuación elíptica referente al movimiento browniano con arrastre.
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• Resumen

  • 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 OR of radius R. Thus:

    OR = {x Î R3 : |x| < R}.

    The equation we are concerned with is given by (-? - b(x).Ñ) u(x) = f(x), x Î OR, with zero Dirichlet boundary conditions.