New regularity of Kolmogorov equation and application on approximation of semi-linear SPDEs with Hölder continuous drifts
type: Item
instance of: scholarly article
title: New regularity of Kolmogorov equation and application on approximation of semi-linear SPDEs with Hölder continuous drifts
zbMATH Open document ID: 1401.60120
author: Jianhai Bao
author: Xing Huang
author: Chenggui Yuan
published in: Communications on Pure and Applied Analysis
publication date: 2018-10-31T00:00:00Z
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 65C30
zbMATH DE Number: 6969368
zbMATH Keywords: mild solution
zbMATH Keywords: exponential integrator scheme
zbMATH Keywords: Sobolev norm
zbMATH Keywords: Hölder continuity
zbMATH Keywords: Zvonkin's transform
zbMATH Keywords: stochastic reaction-diffusion
MaRDI profile type: Publication
full work available at URL: cpaa.2019018
OpenAlex ID: W2885665240
cites work: \(L^p\) and almost sure convergence of a Milstein scheme for stochastic partial differential equations
cites work: Multilevel Monte Carlo method for parabolic stochastic partial differential equations
cites work: Weak approximation of stochastic partial differential equations: the nonlinear case
cites work: Stochastic Equations in Infinite Dimensions
cites work: Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
cites work: Strong uniqueness for stochastic evolution equations with unbounded measurable drift term
cites work: Pathwise uniqueness and continuous dependence for SDEs with non-regular drift
cites work: Mild solutions of neutral stochastic partial functional differential equations
cites work: On the splitting-up method and stochastic partial differential equations
cites work: On Stochastic Differential Equations with Locally Unbounded Drift
cites work: A note on Euler approximations for SDEs with Hölder continuous diffusion coefficients
cites work: Convergence of tamed Euler schemes for a class of stochastic evolution equations
cites work: Approximation for semilinear stochastic evolution equations
cites work: The Euler-Maruyama method for S(F)DEs with Hölder drift and α-stable noise
cites work: The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds
cites work: Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise
cites work: Strong solutions of stochastic equations with singular time dependent drift
cites work: Almost sure convergence of a semidiscrete Milstein scheme for SPDEs of Zakai type
cites work: A numerical scheme for stochastic PDEs with Gevrey regularity
cites work: Postprocessing for Stochastic Parabolic Partial Differential Equations
cites work: Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients
cites work: OUP accepted manuscript
cites work: Strong rate of convergence for the Euler-Maruyama approximation of SDEs with Hölder continuous drift coefficient
cites work: Numerical methods for stochastic parabolic PDEs
cites work: Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift
cites work: Degenerate SDEs in Hilbert spaces with rough drifts
cites work: Degenerate SDE with Hölder-Dini drift and non-Lipschitz noise coefficient
cites work: Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
cites work: Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients
cites work: A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
DOI: 10.3934/CPAA.2019018
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description: scientific article; zbMATH DE number 6969368