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L-p-estimates for time fractional parabolic equations with coefficients measurable in time
- Authors
- Dong, Hongjie; Kim, Doyoon
- Issue Date
- 17-3월-2019
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Parabolic equation; Time fractional derivative; Measurable coefficients; Small mean oscillations
- Citation
- ADVANCES IN MATHEMATICS, v.345, pp.289 - 345
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN MATHEMATICS
- Volume
- 345
- Start Page
- 289
- End Page
- 345
- ISSN
- 0001-8708
- Abstract
- We establish the L-p-solvability for time fractional parabolic equations when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend a recent result in [6] to a large extent. (C) 2019 Elsevier Inc. All rights reserved.
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