Degenerate SDEs with Singular Drift and Applications to Heisenberg Groups

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.

28 pages

References in corpus (2)

• On gradient bounds for the heat kernel on the Heisenberg group
• Heat kernel and ergodicity of SDEs with distributional drifts

Cited by in corpus (1)

• Harnack and Shift Harnack Inequalities for SDEs with Integrable Drifts