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

School of 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

Find It

Find It at U of M Libraries

Cite this

@article{370f9642f75443768b7e9e899bb6ed55,

title = "Regularity and global bounds of densities of invariant measures of diffusion processes",

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.",

author = "Bogachev, \{V. I.\} and Krylov, \{N. V.\} and M. Rockner",

year = "2005",

month = dec,

day = "1",

language = "English (US)",

volume = "405",

pages = "583--587",

journal = "Doklady Akademii Nauk",

issn = "0869-5652",

publisher = "Izdatel'stvo Nauka",

number = "5",

}

TY - JOUR

T1 - Regularity and global bounds of densities of invariant measures of diffusion processes

AU - Bogachev, V. I.

AU - Krylov, N. V.

AU - Rockner, M.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/33644885251

UR - https://www.scopus.com/pages/publications/33644885251#tab=citedBy

M3 - Article

AN - SCOPUS:33644885251

SN - 0869-5652

VL - 405

SP - 583

EP - 587

JO - Doklady Akademii Nauk

JF - Doklady Akademii Nauk

IS - 5

ER -

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

Abstract

Find It

Other files and links

Fingerprint

Cite this