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.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 131 - 16
Main Authors Li, Yanlin, Bhattacharyya, Sujit, Azami, Shahroud, Hui, Shyamal Kumar
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.10.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Geometric flow
Gradient estimate
Inequality
Li-Yau type estimation
Mathematics
Mathematics and Statistics
Parabolic system
Weighted Laplacian
Li-Yau type estimation
Geometric flow
Parabolic system
Gradient estimate
Weighted Laplacian
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ISSN1029-242X
1025-5834
1029-242X
DOI10.1186/s13660-024-03209-y

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Summary: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.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03209-y