Gradient Estimates for a Weighted ?-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications
نویسندگان
چکیده
Abstract This article studies a nonlinear parabolic equation on complete weighted manifold where the metric and potential evolve under super Perelman-Ricci flow. It derives elliptic gradient estimates of local global types for positive solutions exploits some their implications notably to general Liouville type theorem, Harnack inequalities classes Hamilton dimension-free estimates. Some examples special cases are discussed illustration.
منابع مشابه
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ژورنال
عنوان ژورنال: Potential Analysis
سال: 2021
ISSN: ['1572-929X', '0926-2601']
DOI: https://doi.org/10.1007/s11118-021-09969-2