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- Bae, Hantaek
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Propagation of regularity of level sets for a class of active transport equations
- Author(s)
- Bae, Hantaek, Kelliher, James P.
- Issued Date
- 2021-05
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.497, no.1
- Abstract
- We prove that for any alpha is an element of (0, 1), the C-1,C-alpha regularity of level sets for solutions to a class of active transport equations is propagated over the existence time of the solution. This extends a recent result of Bertozzi, Garnett, Laurent, and Verdera for patch boundary regularity for the aggregation equation. (C) 2020 Elsevier Inc. All rights reserved.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- ISSN
- 0022-247X
- Keyword (Author)
- Active transport equations, Striated regularity, Aggregation equation
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