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2001 A Note on Krylov's $L_p$-Theory for Systems of SPDEs
R. Mikulevicius, B. Rozovskii
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Electron. J. Probab. 6: 1-35 (2001). DOI: 10.1214/EJP.v6-85


We extend Krylov's $L_p$-solvability theory to the Cauchy problem for systems of parabolic stochastic partial differential equations. Some additional integrability and regularity properties are also presented.


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R. Mikulevicius. B. Rozovskii. "A Note on Krylov's $L_p$-Theory for Systems of SPDEs." Electron. J. Probab. 6 1 - 35, 2001.


Accepted: 14 March 2001; Published: 2001
First available in Project Euclid: 19 April 2016

zbMATH: 0974.60043
MathSciNet: MR1831807
Digital Object Identifier: 10.1214/EJP.v6-85

Primary: 60H15
Secondary: 35R60

Keywords: Cauchy problem , Stochastic partial differential equations

Vol.6 • 2001
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