Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces

DOI10.1007/s11118-021-09913-4zbMath1500.60032arXiv2002.07097OpenAlexW3135305079WikidataQ115381381 ScholiaQ115381381MaRDI QIDQ2148908

Longjie Xie, Chengcheng Ling

Publication date: 24 June 2022

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07097

zbMATH Keywords

stochastic differential equationsKrylov's estimateZvonkin's transformationsingular drift

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items (1)

Stability estimates for singular SDEs and applications

Cites Work

• Unnamed Item
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• Stochastic differential equations with Sobolev diffusion and singular drift and applications
• A variational approach to the construction and Malliavin differentiability of strong solutions of SDEs
• Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010
• Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
• The embedding theorem for Sobolev spaces with mixed norm for limit exponents
• Integrability conditions for SDEs and semilinear SPDEs
• Regularization and well-posedness by noise for ordinary and partial differential equations
• Strong solutions of stochastic equations with singular time dependent drift
• Stochastic Hamiltonian flows with singular coefficients
• Exponential ergodicity for stochastic Langevin equation with partial dissipative drift
• Ergodicity of stochastic differential equations with jumps and singular coefficients
• \(L^q(L^p)\)-theory of stochastic differential equations
• Strong maximal operator on mixed-norm spaces
• Regularity of stochastic kinetic equations
• The Heat Equation inL_q((0,T),L_p)-Spaces with Weights
• Pathwise uniqueness and continuous dependence for SDEs with non-regular drift
• L_q(L_p) -THEORY OF PARABOLIC PDEs WITH VARIABLE COEFFICIENTS
• On the Strong Solutions of Stochastic Differential Equations
• Multiscale Methods
• A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT

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