Spdes in LQ((0, τ], LP) Spaces

N. V. Krylov

doi:10.1214/EJP.v5-69

Spdes in L_Q((0, τ], L_P) Spaces

N. V. Krylov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-29
Number of pages	29
Journal	Electronic Journal of Probability
Volume	5
DOIs	https://doi.org/10.1214/EJP.v5-69
State	Published - Jan 1 2000

Keywords

Sobolev spaces with weights
Stochastic partial differential equations

Publisher link

10.1214/EJP.v5-69

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title = "Spdes in LQ((0, τ], LP) Spaces",

abstract = "Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in Lp-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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