Quasiderivatives and interior smoothness of harmonic functions associated with degenerate diffusion processes

N. V. Krylov

doi:10.1214/EJP.v9-219

Quasiderivatives and interior smoothness of harmonic functions associated with degenerate diffusion processes

N. V. Krylov

School of Mathematics

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

3 Scopus citations

Abstract

Proofs and two applications of two general results are given concerning the problem of establishing interior smoothness of probabilistic solutions of elliptic degenerate equations.

Original language	English (US)
Pages (from-to)	615-633
Number of pages	19
Journal	Electronic Journal of Probability
Volume	9
DOIs	https://doi.org/10.1214/EJP.v9-219
State	Published - Jan 1 2004

Keywords

Diffusion processes with constant coefficients
Interior smoothness
Quasiderivatives

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10.1214/EJP.v9-219

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title = "Quasiderivatives and interior smoothness of harmonic functions associated with degenerate diffusion processes",

abstract = "Proofs and two applications of two general results are given concerning the problem of establishing interior smoothness of probabilistic solutions of elliptic degenerate equations.",

keywords = "Diffusion processes with constant coefficients, Interior smoothness, Quasiderivatives",

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

year = "2004",

month = jan,

day = "1",

doi = "10.1214/EJP.v9-219",

language = "English (US)",

volume = "9",

pages = "615--633",

journal = "Electronic Journal of Probability",

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AU - Krylov, N. V.

PY - 2004/1/1

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N2 - Proofs and two applications of two general results are given concerning the problem of establishing interior smoothness of probabilistic solutions of elliptic degenerate equations.

AB - Proofs and two applications of two general results are given concerning the problem of establishing interior smoothness of probabilistic solutions of elliptic degenerate equations.

KW - Diffusion processes with constant coefficients

KW - Interior smoothness

KW - Quasiderivatives

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SP - 615

EP - 633

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

ER -

Quasiderivatives and interior smoothness of harmonic functions associated with degenerate diffusion processes

Abstract

Keywords

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