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Parabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE
- Authors
- Kim, Ildoo; Kim, Kyeong-Hun; Lim, Sungbin
- Issue Date
- 15-4월-2016
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Parabolic Littlewood-Paley inequality; Stochastic partial differential equations; Time-dependent high order; operators Non-local operators of arbitrary order
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.436, no.2, pp.1023 - 1047
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 436
- Number
- 2
- Start Page
- 1023
- End Page
- 1047
- ISSN
- 0022-247X
- Abstract
- In this paper we prove a parabolic version of the Littlewood-Paley inequality for a class of time-dependent local and non-local operators of arbitrary order, and as an application we show that this inequality gives a fundamental estimate for an L-p-theory of high-order stochastic partial differential equations. (C) 2015 Elsevier Inc. All rights reserved.
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