Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter
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Publication:262032
DOI10.3934/dcds.2016.36.3519zbMath1346.60099OpenAlexW2213084967WikidataQ59893204 ScholiaQ59893204MaRDI QIDQ262032
Vladimir I. Bogachev, Alexander Yu. Veretennikov, Stanislav V. Shaposhnikov
Publication date: 29 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.3519
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Fokker-Planck equations (35Q84)
Related Items (4)
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations ⋮ Fokker-Planck-Kolmogorov equations with a parameter ⋮ Poisson Equation on Wasserstein Space and Diffusion Approximations for Multiscale McKean–Vlasov Equation ⋮ Mathematical foundation of nonequilibrium fluctuation-dissipation theorems for inhomogeneous diffusion processes with unbounded coefficients
Cites Work
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- On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution
- On probability and integrable solutions to the stationary Kolmogorov equation
- On interior estimates of the Sobolev norms of solutions of elliptic equations
- Elliptic equations for measures: regularity and global bounds of densities
- Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients
- On Poisson equation and diffusion approximation. II.
- On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation
- On uniqueness problems related to elliptic equations for measures
- On Sobolev solutions of Poisson equations in \(\mathbb R^d\) with a parameter
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
- Ergodic Control of Diffusion Processes
- Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes
- Elliptic and parabolic equations for measures
- Weakly Differentiable Functions
- Elliptic Partial Differential Equations of Second Order
- A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts
- Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
- Elliptic equations for invariant measures on finite and infinite dimensional manifolds
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