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Volumn 119, Issue 1, 2009, Pages 16-44

Sobolev space theory of SPDEs with continuous or measurable leading coefficients

Author keywords

Lp theory; Lq (Lp) theory; Measurable coefficients; Sobolev spaces with weights; Stochastic partial differential equations

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; IMAGE SEGMENTATION;

EID: 57149100814     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2008.01.009     Document Type: Article
Times cited : (12)

References (15)
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  • 6
    • 0042819954 scopus 로고    scopus 로고
    • Some properties of traces for stochastic and determistic parabolic weighted Sobolev spaces
    • Krylov N.V. Some properties of traces for stochastic and determistic parabolic weighted Sobolev spaces. Journal of Functional Analysis 183 (2001) 1-41
    • (2001) Journal of Functional Analysis , vol.183 , pp. 1-41
    • Krylov, N.V.1
  • 8
    • 0001646937 scopus 로고    scopus 로고
    • An analytic approach to SPDEs
    • Stochastic Partial Differential Equations: Six Perspectives, AMS, Providence, RI
    • Krylov N.V. An analytic approach to SPDEs. Stochastic Partial Differential Equations: Six Perspectives. Mathematical Surveys and Monographs vol. 64 (1999), AMS, Providence, RI 185-242
    • (1999) Mathematical Surveys and Monographs , vol.64 , pp. 185-242
    • Krylov, N.V.1
  • 9
    • 0033473954 scopus 로고    scopus 로고
    • Weighted Sobolev spaces and Laplace equations and the heat equations in a half space
    • Krylov N.V. Weighted Sobolev spaces and Laplace equations and the heat equations in a half space. Communications in Partial Differential Equations 23 9-10 (1999) 1611-1653
    • (1999) Communications in Partial Differential Equations , vol.23 , Issue.9-10 , pp. 1611-1653
    • Krylov, N.V.1
  • 10
    • 0033233494 scopus 로고    scopus 로고
    • A Sobolev space theory of SPDEs with constant coefficients in a half space
    • Krylov N.V., and Lototsky S.V. A Sobolev space theory of SPDEs with constant coefficients in a half space. SIAM Journal on Mathematical Analysis 31 1 (1999) 19-33
    • (1999) SIAM Journal on Mathematical Analysis , vol.31 , Issue.1 , pp. 19-33
    • Krylov, N.V.1    Lototsky, S.V.2
  • 11
    • 0038673502 scopus 로고    scopus 로고
    • Dirichlet problem for stochastic parabolic equations in smooth domains
    • Lototksy S.V. Dirichlet problem for stochastic parabolic equations in smooth domains. Stochastics and Stochastics Reports 68 1-2 (1999) 145-175
    • (1999) Stochastics and Stochastics Reports , vol.68 , Issue.1-2 , pp. 145-175
    • Lototksy, S.V.1
  • 12
    • 3242784893 scopus 로고    scopus 로고
    • Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
    • Lototksy S.V. Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations. Methods and Applications of Analysis 1 1 (2000) 195-204
    • (2000) Methods and Applications of Analysis , vol.1 , Issue.1 , pp. 195-204
    • Lototksy, S.V.1
  • 13
    • 0038673501 scopus 로고    scopus 로고
    • Linear stochastic parabolic equations, degenerating on the boundary of a domain
    • Lototsky S.V. Linear stochastic parabolic equations, degenerating on the boundary of a domain. Electronic Journal of Probability 6 24 (2001) 1-14
    • (2001) Electronic Journal of Probability , vol.6 , Issue.24 , pp. 1-14
    • Lototsky, S.V.1
  • 15
    • 0033244810 scopus 로고    scopus 로고
    • p-estimate for stochastic PDEs with discontinuous coefficients
    • p-estimate for stochastic PDEs with discontinuous coefficients. Stochastic Analysis and Applications 17 4 (1999) 678-711
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    • Yoo, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.