On SPDEs with variable coefficients in one space dimension

Kyeong Hun Kim, N. V. Krylov

Research output: Contribution to journalArticle

14 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 languageEnglish
Pages (from-to)209-239
Number of pages31
JournalPotential Analysis
Volume21
Issue number3
DOIs
Publication statusPublished - 2004 Nov 1
Externally publishedYes

Fingerprint

Variable Coefficients
Stochastic Order
Weighted Sobolev Spaces
Existence and Uniqueness Results
Second order differential equation
Partial differential equation
Interval

Keywords

  • Sobolev spaces with weights
  • Stochastic partial differential equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis

Cite this

On SPDEs with variable coefficients in one space dimension. / Kim, Kyeong Hun; Krylov, N. V.

In: Potential Analysis, Vol. 21, No. 3, 01.11.2004, p. 209-239.

Research output: Contribution to journalArticle

Kim, Kyeong Hun ; Krylov, N. V. / On SPDEs with variable coefficients in one space dimension. In: Potential Analysis. 2004 ; Vol. 21, No. 3. pp. 209-239.
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