On the time inhomogeneous skew Brownian motion
Abstract
This paper is devoted to the construction of a solution for the "Inhomogenous skew Brownian motion" equation, which first appeared in a seminal paper by Sophie Weinryb, and recently, studied by \'Etor\'e and Martinez. Our method is based on the use of the Balayage formula. At the end of this paper we study a limit theorem of solutions.
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