On the Root solution to the Skorokhod embedding problem given full marginals
Abstract
This paper examines the Root solution of the Skorohod embedding problem given full marginals on some compact time interval. Our results are obtained by limiting arguments based on finitely-many marginals Root solution of Cox, Obl\'oj and Touzi. Our main result provides a characterization of the corresponding potential function by means of a convenient parabolic PDE.
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