On weak uniqueness for some diffusions with discontinuous coefficients

N. V. Krylov

doi:10.1016/j.spa.2004.03.012

On weak uniqueness for some diffusions with discontinuous coefficients

N. V. Krylov

School of Mathematics

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

44 Scopus citations

Abstract

Several situations when one can prove weak uniqueness of solutions of Itô equations with discontinuous or/and degenerate coefficients are presented. In particular, the cases are considered in which the set of discontinuity is a cone, or a straight line, or else a discrete set of points.

Original language	English (US)
Pages (from-to)	37-64
Number of pages	28
Journal	Stochastic Processes and their Applications
Volume	113
Issue number	1
DOIs	https://doi.org/10.1016/j.spa.2004.03.012
State	Published - Sep 2004

Bibliographical note

Funding Information:
The work was partially supported by NSF Grant DMS-0140405.

Keywords

Second-order elliptic equations
Stochastic Itô equations
Weak uniqueness

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10.1016/j.spa.2004.03.012

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title = "On weak uniqueness for some diffusions with discontinuous coefficients",

abstract = "Several situations when one can prove weak uniqueness of solutions of It{\^o} equations with discontinuous or/and degenerate coefficients are presented. In particular, the cases are considered in which the set of discontinuity is a cone, or a straight line, or else a discrete set of points.",

keywords = "Second-order elliptic equations, Stochastic It{\^o} equations, Weak uniqueness",

author = "Krylov, \{N. V.\}",

note = "Funding Information: The work was partially supported by NSF Grant DMS-0140405. ",

year = "2004",

month = sep,

doi = "10.1016/j.spa.2004.03.012",

language = "English (US)",

volume = "113",

pages = "37--64",

journal = "Stochastic Processes and their Applications",

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T1 - On weak uniqueness for some diffusions with discontinuous coefficients

AU - Krylov, N. V.

N1 - Funding Information: The work was partially supported by NSF Grant DMS-0140405.

PY - 2004/9

Y1 - 2004/9

N2 - Several situations when one can prove weak uniqueness of solutions of Itô equations with discontinuous or/and degenerate coefficients are presented. In particular, the cases are considered in which the set of discontinuity is a cone, or a straight line, or else a discrete set of points.

AB - Several situations when one can prove weak uniqueness of solutions of Itô equations with discontinuous or/and degenerate coefficients are presented. In particular, the cases are considered in which the set of discontinuity is a cone, or a straight line, or else a discrete set of points.

KW - Second-order elliptic equations

KW - Stochastic Itô equations

KW - Weak uniqueness

UR - https://www.scopus.com/pages/publications/4243125229

UR - https://www.scopus.com/pages/publications/4243125229#tab=citedBy

U2 - 10.1016/j.spa.2004.03.012

DO - 10.1016/j.spa.2004.03.012

M3 - Article

AN - SCOPUS:4243125229

SN - 0304-4149

VL - 113

SP - 37

EP - 64

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 1

ER -

On weak uniqueness for some diffusions with discontinuous coefficients

Abstract

Bibliographical note

Keywords

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