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

J. Redondo, Joseph G. Conlon

• 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.