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Gradient estimates for a weighted G-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications
Version 2 2023-06-12, 08:12
Version 1 2023-06-10, 01:49
journal contribution
posted on 2023-06-12, 08:12 authored by Ali TaheriAli TaheriThis article studies a nonlinear parabolic equation on a complete weighted manifold where the metric and potential evolve under a super Perelman-Ricci flow. It derives elliptic gradient estimates of local and global types for the positive solutions and exploits some of their implications notably to a general Liouville type theorem, parabolic Harnack inequalities and classes of Hamilton type dimension-free gradient estimates. Some examples and special cases are discussed for illustration.
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- Published
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- Published version
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Potential AnalysisISSN
0926-2601Publisher
SpringerExternal DOI
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- Mathematics Publications
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- Analysis and Partial Differential Equations Research Group Publications
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- Yes
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- Yes
Legacy Posted Date
2021-11-18First Open Access (FOA) Date
2021-11-26First Compliant Deposit (FCD) Date
2021-11-18Usage metrics
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