5 citations · 28 across the 36 of their papers we have counts for
10 papers · 1 filter
Kinetic SDEs and kinetic Fokker-Planck equations with critical Morrey-type drifts, and local blow-ups
Jean-François Jabir, Damir Kinzebulatov, Chengjun Yue
We develop a Sobolev theory for the kinetic Fokker-Planck equation subject to a singular Morrey-form force field which can produce local blow-ups due to strong att…
Strong solutions of SDEs with critical discontinuities in diffusion coefficients
S. E. Boutiah, D. Kinzebulatov
We prove strong existence for Itô SDEs with diffusion coefficients that can introduce strong attraction to a submanifold. We extend and strengthen the Röckner-Zhao approach, which…
Non-local SDEs, critical drifts and local blow-ups
Damir Kinzebulatov, Chengjun Yue
The paper is concerned with -stable SDEs with singular time-inhomogeneous general drift. Our drifts satisfy a condition that is close to the minimal possible scaling-invariance…
Feller generators with singular drifts in the critical range
D. Kinzebulatov, Yu. A. Semenov
We consider diffusion operator in , , with drift in a large class of locally unbounded vector fields that can have critical-order si…
On particle systems and critical strengths of general singular interactions
Damir Kinzebulatov
For finite interacting particle systems with strong repulsing-attracting or general interactions, we prove global weak well-posedness almost up to the critical threshold of the str…
Form-boundedness and SDEs with singular drift
Damir Kinzebulatov
We survey and refine recent results on weak and strong well-posedness of stochastic differential equations with singular drift satisfying some minimal assumptions.