Li-Yau type estimation of a semilinear parabolic system along geometric flow
This article provides a Li–Yau-type gradient estimate for a semilinear weighted parabolic system of semilinear equations along an abstract geometric flow on a smooth measure space. A Harnack-type inequality on the system is also derived at the end.
Authors
- Shyamal Kumar Hui (ORCID: https://orcid.org/0000-0001-5224-3467)
- Sujit Bhattacharyya (ORCID: https://orcid.org/0000-0002-3186-2258)
- Shahroud Azami (ORCID: https://orcid.org/0000-0002-8976-2014)
- Yanlin Li (ORCID: https://orcid.org/0000-0003-1614-3228)
Institutions
- University of Burdwan (IN)
- Hangzhou Normal University (CN)
- Imam Khomeini International University (IR)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2024-10-10
- DOI
- https://doi.org/10.1186/s13660-024-03209-y
- Citations
- 10
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 9.75
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Zhejiang Province