Spdes in LQ((0, τ], LP) Spaces

N. V. Krylov

doi:10.1214/EJP.v5-69

Spdes in L_Q((0, τ], L_P) Spaces

N. V. Krylov

School of Mathematics

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

25 Scopus citations

Abstract

Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in L_p-spaces with weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.

Original language	English (US)
Pages (from-to)	1-29
Number of pages	29
Journal	Electronic Journal of Probability
Volume	5
DOIs	https://doi.org/10.1214/EJP.v5-69
State	Published - Jan 1 2000

Keywords

Sobolev spaces with weights
Stochastic partial differential equations

Publisher link

10.1214/EJP.v5-69

Find It

Find It at U of M Libraries

Cite this

@article{1ac1f19c9f3a400685f269dcc04416a7,

title = "Spdes in LQ((0, τ], LP) Spaces",

abstract = "Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in Lp-spaces with weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.",

keywords = "Sobolev spaces with weights, Stochastic partial differential equations",

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

year = "2000",

month = jan,

day = "1",

doi = "10.1214/EJP.v5-69",

language = "English (US)",

volume = "5",

pages = "1--29",

journal = "Electronic Journal of Probability",

issn = "1083-6489",

publisher = "Institute of Mathematical Statistics",

}

TY - JOUR

T1 - Spdes in LQ((0, τ], LP) Spaces

AU - Krylov, N. V.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in Lp-spaces with weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.

AB - Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in Lp-spaces with weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.

KW - Sobolev spaces with weights

KW - Stochastic partial differential equations

UR - http://www.scopus.com/inward/record.url?scp=8444233096&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8444233096&partnerID=8YFLogxK

U2 - 10.1214/EJP.v5-69

DO - 10.1214/EJP.v5-69

M3 - Article

AN - SCOPUS:8444233096

VL - 5

SP - 1

EP - 29

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

SN - 1083-6489

ER -