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Volumn 112, Issue 2, 2004, Pages 261-283

On stochastic partial differential equations with variable coefficients in C1 domains

Author keywords

C1 domains; Sobolev spaces with weights; Stochastic partial differential equations

Indexed keywords


EID: 3242781023     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.02.006     Document Type: Article
Times cited : (67)

References (14)
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    • Douglis A. Nirenberg L. Interior estimates for elliptic systems of partial differential equations Comm. Pure Appl. Math. 8 1955 503-538
    • (1955) Comm. Pure Appl. Math. , vol.8 , pp. 503-538
    • Douglis, A.1    Nirenberg, L.2
  • 4
    • 0010166764 scopus 로고
    • Dirichlet boundary value problem for stochastic parabolic equations: Compatibility relation and regularity of solutions
    • Flandoli F. Dirichlet boundary value problem for stochastic parabolic equations: compatibility relation and regularity of solutions Stochastics Stochastics Rep. 29 3 1990 331-357
    • (1990) Stochastics Stochastics Rep. , vol.29 , Issue.3 , pp. 331-357
    • Flandoli, F.1
  • 5
    • 3242781023 scopus 로고    scopus 로고
    • On stochastic partial differential equations with variable coefficients in one dimension
    • in press
    • Kim K.-H. Krylov N.V. 2004a. On stochastic partial differential equations with variable coefficients in one dimension, Potential Anal., in press.
    • (2004) Potential Anal.
    • Kim, K.-H.1    Krylov, N.V.2
  • 7
    • 21344476900 scopus 로고
    • n-theory of the Dirichlet problem for SPDE in general smooth domains
    • n-theory of the Dirichlet problem for SPDE in general smooth domains Probab. Theory Related Fields 98 1994 389-421
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 389-421
    • 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 Comm. Partial Differential Equations 23 9-10 1999 1611-1653
    • (1999) Comm. 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. Lototsky S.V. A Sobolev space theory of SPDEs with constant coefficients in a half space SIAM J. Math. Anal. 31 1 1999 19-33
    • (1999) SIAM J. Math. Anal. , vol.31 , Issue.1 , pp. 19-33
    • Krylov, N.V.1    Lototsky, S.V.2
  • 11
    • 3242743005 scopus 로고
    • On the first-initial boundary value problem for stochastic partial differential equations
    • Ph.D. Thesis, University of Minnesota, Minneapolis, MN
    • Lapic S.K. 1994. On the first-initial boundary value problem for stochastic partial differential equations. Ph.D. Thesis, University of Minnesota, Minneapolis, MN.
    • (1994)
    • Lapic, S.K.1
  • 12
    • 0038673502 scopus 로고    scopus 로고
    • Dirichlet problem for stochastic parabolic equations in smooth domains
    • Lototsky S.V. Dirichlet problem for stochastic parabolic equations in smooth domains Stochastics Stochastics Rep. 68 1-2 1999 145-175
    • (1999) Stochastics Stochastics Rep. , vol.68 , Issue.1-2 , pp. 145-175
    • Lototsky, S.V.1
  • 13
    • 3242784893 scopus 로고    scopus 로고
    • Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
    • Lototsky S.V. Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations Methods Appl. Anal. 1 1 2000 195-204
    • (2000) Methods Appl. Anal. , vol.1 , Issue.1 , pp. 195-204
    • Lototsky, S.V.1
  • 14
    • 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 Electron. J. Probab. 6 24 2001 1-14
    • (2001) Electron. J. Probab. , vol.6 , Issue.24 , pp. 1-14
    • Lototsky, S.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.