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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
- Kim, Ildoo;
- Kim, Kyeong-Hun;
- Lim, Sungbin
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6초록
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.
키워드
Parabolic Littlewood-Paley inequality; Stochastic partial differential equations; Time-dependent high order; operators Non-local operators of arbitrary order
- 제목
- Parabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE
- 저자
- Kim, Ildoo; Kim, Kyeong-Hun; Lim, Sungbin
- 발행일
- 2016-04-15
- 유형
- Article
- 권
- 436
- 호
- 2
- 페이지
- 1023 ~ 1047