Martingale problems for some degenerate Kolmogorov equations - Archive ouverte HAL
Article Dans Une Revue Stochastic Processes and their Applications Année : 2018

Martingale problems for some degenerate Kolmogorov equations

Résumé

We obtain Calderón-Zygmund estimates for some degenerate equations of Kolmogorov type with inhomogeneous coefficients. We then derive the well-posedness of the martingale problem associated to related degenerate operators, and therefore uniqueness in law for the corresponding stochastic differential equations. Some density estimates are established as well.
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Dates et versions

hal-00969037 , version 1 (02-04-2014)
hal-00969037 , version 2 (17-08-2014)
hal-00969037 , version 3 (17-09-2015)

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Stephane Menozzi. Martingale problems for some degenerate Kolmogorov equations. Stochastic Processes and their Applications, 2018, 128 (3), pp.756-802. ⟨hal-00969037v3⟩
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