Spdes in LQ((0, τ], LP) Spaces

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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.

Original languageEnglish (US)
Pages (from-to)1-29
Number of pages29
JournalElectronic Journal of Probability
Volume5
DOIs
StatePublished - Jan 1 2000

Keywords

  • Sobolev spaces with weights
  • Stochastic partial differential equations

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