Generalized fractional smoothness and LpL_p-variation of BSDEs with non-Lipschitz terminal condition

preprint2011arXivOpen access

Abstract

We relate the LpL_p-variation, 2≤p<∞2\le p < \infty, of a solution of a backward stochastic differential equation with a path-dependent terminal condition to a generalized notion of fractional smoothness. This concept of fractional smoothness takes into account the quantitative propagation of singularities in time.

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