On SPDEs with variable coefficients in one space dimension

Kyeong Hun Kim; N. V. Krylov

doi:10.1023/B:POTA.0000033334.06990.9d

On SPDEs with variable coefficients in one space dimension

Kyeong Hun Kim, N. V. Krylov

Mathematics

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

18 Scopus citations

Abstract

Stochastic second-order partial differential equations of evolution type are considered in one space dimension. Existence and uniqueness results are given in weighted Sobolev spaces of functions given on an interval in the space variable.

Original language	English (US)
Pages (from-to)	209-239
Number of pages	31
Journal	Potential Analysis
Volume	21
Issue number	3
DOIs	https://doi.org/10.1023/B:POTA.0000033334.06990.9d
State	Published - Nov 2004

Bibliographical note

Funding Information:
The work of the second author was partially supported by NSF grant DMS-0140405.

Keywords

Sobolev spaces with weights
Stochastic partial differential equation

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title = "On SPDEs with variable coefficients in one space dimension",

abstract = "Stochastic second-order partial differential equations of evolution type are considered in one space dimension. Existence and uniqueness results are given in weighted Sobolev spaces of functions given on an interval in the space variable.",

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

author = "Kim, {Kyeong Hun} and Krylov, {N. V.}",

note = "Funding Information: The work of the second author was partially supported by NSF grant DMS-0140405.",

year = "2004",

month = nov,

doi = "10.1023/B:POTA.0000033334.06990.9d",

language = "English (US)",

volume = "21",

pages = "209--239",

journal = "Potential Analysis",

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number = "3",

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AU - Kim, Kyeong Hun

AU - Krylov, N. V.

N1 - Funding Information: The work of the second author was partially supported by NSF grant DMS-0140405.

PY - 2004/11

Y1 - 2004/11

N2 - Stochastic second-order partial differential equations of evolution type are considered in one space dimension. Existence and uniqueness results are given in weighted Sobolev spaces of functions given on an interval in the space variable.

AB - Stochastic second-order partial differential equations of evolution type are considered in one space dimension. Existence and uniqueness results are given in weighted Sobolev spaces of functions given on an interval in the space variable.

KW - Sobolev spaces with weights

KW - Stochastic partial differential equation

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ER -

On SPDEs with variable coefficients in one space dimension

Abstract

Bibliographical note

Keywords

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