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Classical solutions for fractional porous medium flow
Cited 9 time in
Web of Science
Cited 7 time in Scopus
- Authors
- Issue Date
- 2021-09
- Publisher
- Pergamon Press Ltd.
- Citation
- Nonlinear Analysis, Theory, Methods and Applications, Vol.210, p. 112393
- Abstract
- We consider the fractional porous medium flow introduced by Caffarelli and Vazquez (2011) and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof is based on establishing a commutator estimate involving fractional Laplacian operators. (C) 2021 Elsevier Ltd. All rights reserved.
- ISSN
- 0362-546X
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