Elliptic equations for measures: regularity and global bounds of densities

DOI10.1016/j.matpur.2005.11.006zbMath1206.35242OpenAlexW1966879536MaRDI QIDQ995458

Vladimir I. Bogachev, Nicolai V. Krylov, Michael Roeckner

Publication date: 3 September 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2005.11.006

zbMATH Keywords

elliptic equations for measureselliptic operatorbounds for densitiesinvariant measures of diffusions

Mathematics Subject Classification ID

Diffusion processes (60J60) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)

Related Items (17)

On the \(L^p\)-theory of vector-valued elliptic operators ⋮ Positiveness of invariant measures of diffusion processes ⋮ Integrability and continuity of solutions to double divergence form equations ⋮ Regularity and stability of invariant measures for diffusion processes under synthetic lower Ricci curvature bounds ⋮ Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes ⋮ Kernel estimates for nonautonomous Kolmogorov equations ⋮ Regularity of solutions to Kolmogorov equations with perturbed drifts ⋮ On Sobolev classes containing solutions to Fokker-Planck-Kolmogorov equations ⋮ On nonuniqueness of solutions to elliptic equations for probability measures ⋮ Distances between Stationary Distributions of Diffusions and Solvability of Nonlinear Fokker--Planck--Kolmogorov Equations ⋮ On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation ⋮ \(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients ⋮ BSDE AND GENERALIZED DIRICHLET FORMS: THE FINITE-DIMENSIONAL CASE ⋮ Lower estimates of densities of solutions of elliptic equations for measures ⋮ Invariant measures and asymptotic Gaussian bounds for normal forms of stochastic climate model ⋮ Cores for parabolic operators with unbounded coefficients ⋮ Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter

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