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Degenerate SDEs with singular drift and applications to Heisenberg groups

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By using the ultracontractivity of a reference diffusion semigroup, Krylov's estimate is established for a class of degenerate SDEs with singular drifts, which leads to existence and pathwise uniqueness by… Click to show full abstract

By using the ultracontractivity of a reference diffusion semigroup, Krylov's estimate is established for a class of degenerate SDEs with singular drifts, which leads to existence and pathwise uniqueness by means of Zvonkin's transformation. The main result is applied to singular SDEs on generalized Heisenberg groups.

Keywords: heisenberg groups; singular drift; applications heisenberg; drift applications; sdes singular; degenerate sdes

Journal Title: Journal of Differential Equations
Year Published: 2018

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