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

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

18 Citations (Scopus)

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
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
Publication status	Published - 2004 Nov
Externally published	Yes

Keywords

Sobolev spaces with weights
Stochastic partial differential equation

ASJC Scopus subject areas

Analysis

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10.1023/B:POTA.0000033334.06990.9d

Cite this

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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.}",

year = "2004",

month = nov,

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

language = "English",

volume = "21",

pages = "209--239",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

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T1 - On SPDEs with variable coefficients in one space dimension

AU - Kim, Kyeong Hun

AU - Krylov, N. V.

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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U2 - 10.1023/B:POTA.0000033334.06990.9d

DO - 10.1023/B:POTA.0000033334.06990.9d

M3 - Article

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SN - 0926-2601

VL - 21

SP - 209

EP - 239

JO - Potential Analysis

JF - Potential Analysis

IS - 3

ER -

On SPDEs with variable coefficients in one space dimension

Abstract

Keywords

ASJC Scopus subject areas

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