Strong P-completeness of Stochastic Diierential Equations and the Existence of Smooth Ows on Noncompact Manifolds

@inproceedings{Li2007StrongPO,
  title={Strong P-completeness of Stochastic Diierential Equations and the Existence of Smooth Ows on Noncompact Manifolds},
  author={Xue-mei Li},
  year={2007}
}
Here we discuss the regularity of solutions of SDE's and obtain conditions under which a SDE on a complete Riemannian manifold M has a global smooth solution ow, in particular improving the usual global Lip-schitz hypothesis when M = R n. There are also results on non-explosion of diiusions. 

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