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2000 SPDEs in $L_q( ( 0,\tau ] , L_p)$ Spaces
N. Krylov
Author Affiliations +
Electron. J. Probab. 5: 1-29 (2000). DOI: 10.1214/EJP.v5-69


Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in $L_p$-spaces with weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.


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N. Krylov. "SPDEs in $L_q( ( 0,\tau ] , L_p)$ Spaces." Electron. J. Probab. 5 1 - 29, 2000.


Accepted: 30 June 2000; Published: 2000
First available in Project Euclid: 7 March 2016

zbMATH: 0963.60053
MathSciNet: MR1781025
Digital Object Identifier: 10.1214/EJP.v5-69

Primary: 60H15
Secondary: 35R60

Keywords: Sobolev spaces with weights , Stochastic partial differential equations

Vol.5 • 2000
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