Regularity and global bounds of densities of invariant measures of diffusion processes

V. I. Bogachev; N. V. Krylov; M. Rockner

Regularity and global bounds of densities of invariant measures of diffusion processes

V. I. Bogachev, N. V. Krylov, M. Rockner

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Elliptic equations of the form L^◆μ = ν for measures on Rⁿ are considered. At suitable conditions on L coefficients, belonging of the solutions to Sobolev class W^p,1(Rⁿ) is established. For corresponding densities the bounds in the form q(x)≤CΦ(x)^-1 are obtained.

Original language	English (US)
Pages (from-to)	583-587
Number of pages	5
Journal	Doklady Akademii Nauk
Volume	405
Issue number	5
State	Published - Dec 1 2005

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abstract = "Elliptic equations of the form L◆μ = ν for measures on Rn are considered. At suitable conditions on L coefficients, belonging of the solutions to Sobolev class Wp,1(Rn) is established. For corresponding densities the bounds in the form q(x)≤CΦ(x)-1 are obtained.",

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AU - Krylov, N. V.

AU - Rockner, M.

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AB - Elliptic equations of the form L◆μ = ν for measures on Rn are considered. At suitable conditions on L coefficients, belonging of the solutions to Sobolev class Wp,1(Rn) is established. For corresponding densities the bounds in the form q(x)≤CΦ(x)-1 are obtained.

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Regularity and global bounds of densities of invariant measures of diffusion processes

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