Stochastic differential equations with Sobolev diffusion and singular drift and applications

From MaRDI portal
Publication:350684

DOI10.1214/15-AAP1159zbMath1353.60056arXiv1406.7446OpenAlexW2535419206MaRDI QIDQ350684

Xicheng Zhang

Publication date: 9 December 2016

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7446




Related Items

A Wong-Zakai theorem for SDEs with singular driftSDEs with random and irregular coefficientsStrong solutions of stochastic differential equations with coefficients in mixed-norm spacesStochastic equations with time-dependent singular driftErgodicity of stochastic differential equations with jumps and singular coefficients\(L^q(L^p)\)-theory of stochastic differential equationsConvergence rate of the Euler-Maruyama scheme applied to diffusion processes with \(L^q - L^{\rho}\) drift coefficient and additive noiseStochastic differential equations with critical driftsStability estimates for singular SDEs and applicationsMaximum principle for stochastic control of SDEs with measurable driftsDifferentiability of SDEs with drifts of super-linear growthStochastic Lagrangian path for Leray's solutions of 3D Navier-Stokes equationsQuantitative stability estimates for multiscale stochastic dynamical systemsQuantitative stability estimates for Fokker-Planck equationsSingular Brownian diffusion processesOn stochastic Itô processes with drift in \(L_d\)Stochastic Hamiltonian flows with singular coefficientsStability of regime-switching processes under perturbation of transition rate matricesRegularity properties of jump diffusions with irregular coefficientsExistence and uniqueness of degenerate SDEs with Hölder diffusion and measurable driftMoment estimates and applications for SDEs driven by fractional Brownian motions with irregular driftsA Zvonkin's transformation for stochastic differential equations with singular drift and applicationsDensity for solutions to stochastic differential equations with unbounded driftExponential convergence for functional SDEs with Hölder continuous driftThe perfection of local semi-flows and local random dynamical systems with applications to SDEsSDEs with critical time dependent drifts: weak solutions