A Sobolev space theory of SPDEs with constant coefficients in a half space

SIAM Journal on Mathematical Analysis

Volumn 31, Issue 1, 1999, Pages 19-33

  Krylov, N V ^a   Lototsky, S V ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Sobolev spaces with weights; Stochastic partial differential equations

Indexed keywords

EID: 0033233494     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141098338843     Document Type: Article

References (9)

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4. N. V. KRYLOV, An analytic approach to SPDEs, in Stochastic Partial Differential Equations, Six Perspectives, Math. Surveys Monog., AMS, Providence, RI, 1999, pp. 185-242.
5. N. V. KRYLOV, Weighted Sobolev spaces and Laplace's and the heat equations in a half space, Comm. Partial Differential Equations, 24 (1999), pp. 1611-1653.
6. N. V. KRYLOV AND S. V. LOTOTSKY, A Sobolev space theory of SPDEs with constant coefficients on a half line, SIAM J. Math. Anal., 30 (1999), pp. 298-325.
7. S. LAPIC, On the First Initial-Boundary Problem for SPDEs on Domains with Limited Smoothness at the Boundary, Ph.D. thesis, University of Minnesota, Minneapolis, MN, 1994.
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9. H. TRIEBEL, Theory of Function Spaces II, Birkhäuser Verlag, Basel, 1992.