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Parabolic Littlewood-Paley inequality for phi (-Delta)-type operators and applications to stochastic integro-differential equations
- Kim, Ildoo;
- Kim, Kyeong-Hun;
- Kim, Panki
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28초록
In this paper we prove a parabolic version of the Littlewood-Paley inequality (1.4) for the operators of the type phi(-Delta), where phi is a Bernstein function. As an application, We construct an L-p-theory for the stochastic integro-differential equations of the type du = (-phi(-Delta)u dt + gdW(t). (C) 2013 Elsevier Inc. All rights reserved.
키워드
Parabolic Littlewood Paley inequality; Stochastic partial differential equations; Integro-differential operators; Levy processes; Estimates of transition functions; JUMP-PROCESSES
- 제목
- Parabolic Littlewood-Paley inequality for phi (-Delta)-type operators and applications to stochastic integro-differential equations
- 저자
- Kim, Ildoo; Kim, Kyeong-Hun; Kim, Panki
- 발행일
- 2013-12-20
- 유형
- Article
- 권
- 249
- 페이지
- 161 ~ 203