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Parabolic Littlewood-Paley inequality for phi (-Delta)-type operators and applications to stochastic integro-differential equations
- Authors
- Kim, Ildoo; Kim, Kyeong-Hun; Kim, Panki
- Issue Date
- 20-12월-2013
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Parabolic Littlewood Paley inequality; Stochastic partial differential equations; Integro-differential operators; Levy processes; Estimates of transition functions
- Citation
- ADVANCES IN MATHEMATICS, v.249, pp.161 - 203
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN MATHEMATICS
- Volume
- 249
- Start Page
- 161
- End Page
- 203
- ISSN
- 0001-8708
- Abstract
- 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.
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