Time Reversal for Gap Diffusions with Nonlocal Boundary Conditions

Matthias Weber · Mathematische Nachrichten · 1994

Abstract We consider the infinitesimal generator of the time reversal of a time‐homogeneous one‐dimensional gap diffusion with state space [0, 1] given by the infinitesimal generator Ao = dDs+ ‐ dk / dm with nonlocal boundary conditions of Feller‐Wentzell‐type. This leads to an infinitesimal generator which belongs to a class of generators introduced in the earlier note [W1].

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