A new approach to the $L^p$-theory of $-\Delta + b \cdot \nabla$, and its applications to Feller processes with general drifts

DOI10.2422/2036-2145.201510_018zbMath1379.35087arXiv1502.07286OpenAlexW2963692290WikidataQ114041604 ScholiaQ114041604MaRDI QIDQ4977758

Damir Kinzebulatov

Publication date: 17 August 2017

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07286

zbMATH Keywords

diffusion with drift elliptic operators, regularity of solutions, Feller semigroups

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Second-order elliptic equations (35J15)

Related Items (9)

Feller generators and stochastic differential equations with singular (form-bounded) drift ⋮ Stochastic equations with time-dependent singular drift ⋮ Kolmogorov operator with the vector field in Nash class ⋮ On admissible singular drifts of symmetric α‐stable process ⋮ Regularity for parabolic equations with singular non-zero divergence vector fields ⋮ Feller generators with measure-valued drifts ⋮ Brownian motion with general drift ⋮ On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty$ ⋮ Regularity theory of Kolmogorov operator revisited

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