Article ID Journal Published Year Pages File Type
4620236 Journal of Mathematical Analysis and Applications 2009 8 Pages PDF
Abstract

We study a certain one-dimensional, degenerate parabolic partial differential equation with a boundary condition which arises in pricing of Asian options. Due to degeneracy of the partial differential operator and the non-smooth boundary condition, regularity of the generalized solution of such a problem remained unclear. We prove that the generalized solution of the problem is indeed a classical solution.

Related Topics
Physical Sciences and Engineering Mathematics Analysis