Entropy solutions to the fully nonlocal diffusion equations
Abstract We consider the fully nonlocal diffusion equations with nonnegative ‐data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative entropy solutions for such problems. In particular, our results are valid for the time‐space fractional Laplacian equations.
Authors
- Ying Li (ORCID: https://orcid.org/0000-0003-2258-867X)
- Chao Zhang (ORCID: https://orcid.org/0000-0003-2702-2050)
Institutions
- Harbin Institute of Technology (CN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-09-01
- DOI
- https://doi.org/10.1002/mana.202400130
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China