Form-boundedness and SDEs with singular drift

DOI10.1007/978-981-97-0225-1_7zbMATH Open1546.60117MaRDI QIDQ6612907

Publication date: 1 October 2024

Brownian motion stochastic differential equations weak solutions $\alpha$-stable process Feller semigroups singular drifts weak well-posedness Morrey class form-boundedness

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov semigroups and applications to diffusion processes (47D07) Singular elliptic equations (35J75)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Stochastic differential equations with Sobolev diffusion and singular drift and applications
Stochastic differential equations with Sobolev drifts and driven by $\alpha$-stable processes
Stable process with singular drift
Pathwise uniqueness for singular SDEs driven by stable processes
A refined subsolution estimate of weak subsolutions to second order linear elliptic equations with a singular vector field
Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
Feller generators with measure-valued drifts
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
On the martingale problem for generators of stable processes with perturbations
Feller generators and stochastic differential equations with singular (form-bounded) drift
Well-posedness of the transport equation by stochastic perturbation
Construction of strong solutions of SDE's via Malliavin calculus
Some weighted norm inequalities concerning the Schrödinger operators
$L^ p$-theory of Schrödinger semigroups. II
Gaussian bounds for the fundamental solutions of $\nabla(A\nabla u)+B\nabla u-u_ t=0$
Brownian motion with singular drift
A strong regularity result for parabolic equations
Non-symmetric perturbations of symmetric Dirichlet forms.
Extra regularity for parabolic equations with drift terms
Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
Brownian motion with singular time-dependent drift
Singular stochastic differential equations.
Strong solutions of stochastic equations with singular time dependent drift
Perturbation theory for linear operators.
The Feller property for absorption semigroups
On strong solutions of Itô's equations with $\sigma\in W_{\mathtt{d}}^1$ and $\mathtt{b}\in{L_{\mathtt{d}}}$
Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields
SDEs with critical time dependent drifts: weak solutions
Heat kernel of supercritical nonlocal operators with unbounded drifts
Stochastic equations with time-dependent singular drift
$L^q(L^p)$-theory of stochastic differential equations
Stochastic differential equations with critical drifts
Stochastic Lagrangian path for Leray's solutions of 3D Navier-Stokes equations
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness
Brownian motion with general drift
Sobolev differentiable stochastic flows for SDEs with singular coefficients: applications to the transport equation
Regularity theorems for parabolic equations
Feller evolution families and parabolic equations with form-bounded vector fields
Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
Perturbation of symmetric Markov processes
Lebesgue spaces of parabolic potentials
Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients
Beiträge zur Störungstheorie der Spektralzerlegung
On diffusion processes with drift in $L_d$
On multidimensional stable-driven stochastic differential equations with Besov drift
Kolmogorov operator with the vector field in Nash class
Uniqueness of stable processes with drift
The Kato-Ponce Inequality
Heat kernel estimates for critical fractional diffusion operators
Schrödinger semigroups
The uncertainty principle
Linear parabolic equations with strong singular potentials
The Heat Equation with a Singular Potential
A Remark on a Paper by C. Fefferman
Brownian Motion With Polar Drift
Weighted Nonlinear Potential Theory
Schrödinger operators with l l/2w(Rl) -potentials
A Characterization of Parabolic Function Spaces
On the Uniqueness in Law and the Pathwise Uniqueness for Stochastic Differential Equations
Well-posedness by noise for scalar conservation laws
Weak uniqueness for SDEs driven by supercritical stable processes with Hölder drifts
$C_0$-Semigroups in $L^p ({\bf R}^d )$ and $\widehat{C}({\bf R}^d )$ Spaces Generated by the Differential Expression $\Delta + b \cdot \nabla$
On multidimensional stable processes with locally unbounded drift
Some perturbations of drift-type for symmetric stable processes
A new approach to the $L^p$-theory of $-\Delta + b \cdot \nabla$, and its applications to Feller processes with general drifts
On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty$
Regularity theory of Kolmogorov operator revisited
Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights
A note on local $W^{1,p}$-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts
Form boundedness of the general second‐order differential Operator
Multidimensional stochastic differential equations with distributional drift
A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients
Fractional Kolmogorov operator and desingularizing weights
On admissible singular drifts of symmetric α‐stable process
Regularity properties of passive scalars with rough divergence-free drifts
Stochastic transport equation with singular drift
On strong solutions of Itô's equations with $D \sigma$ and $b$ in Morrey classes containing $L_d$
Mean field limit and quantitative estimates with singular attractive kernels
Sharp solvability for singular SDEs
Quantitative heat-kernel estimates for diffusions with distributional drift
On divergence-free (form-bounded type) drifts
On the supercritical fractional diffusion equation with Hardy-type drift

This page was built for publication: Form-boundedness and SDEs with singular drift

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612907)