The optimal control related to Riemannian manifolds and the viscosity solutions to H-J-B equations

Details The optimal control related to Riemannian manifolds and the viscosity solutions to H-J-B equations The optimal control related to Riemannian manifolds and the viscosity solutions to H-J-B equations

2010-01-16

arxiv.org/abs/1001.2820v1

Mathematics

Probability

18 pages

Scientific paper

This paper is concerned with the Dynamic Programming Principle (DPP in short)
with SDEs on Riemannian manifolds. Moreover, through the DPP, we conclude that
the cost function is the unique viscosity solution to the related PDEs on
manifolds.

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