Regularity of solutions to the parabolic fractional obstacle problem
Analysis of PDEs
2011-01-28 v1
Abstract
In this paper we study a parabolic version of the fractional obstacle problem, proving almost optimal regularity for the solution. This problem is motivated by an American option model proposed by Menton which introduces, into the theory of option evaluation, discontinuous paths in the dynamics of the stock's prices.
Keywords
Cite
@article{arxiv.1101.5170,
title = {Regularity of solutions to the parabolic fractional obstacle problem},
author = {Luis Caffarelli and Alessio Figalli},
journal= {arXiv preprint arXiv:1101.5170},
year = {2011}
}