On a weak maximum principle for a class of fractional diffusive equations
- 28 February 2023
- journal article
- research article
- Published by Walter de Gruyter GmbH in Analysis
- Vol. 43 (4), 215-230
- https://doi.org/10.1515/anly-2021-1021
Abstract
We consider two evolution equations involving the space fractional Laplace operator of order . We first establish some existence and uniqueness results for the considered evolution equations. Next, we give some comparison theorems and prove that, if the data of each equation are data bounded, then the solutions are also bounded.
Keywords
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