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Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow | ||
| Journal of Finsler Geometry and its Applications | ||
| مقاله 1، دوره 3، شماره 1، مهر 2022، صفحه 1-15 اصل مقاله (119.03 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2022.10956.1067 | ||
| نویسندگان | ||
| Xinyue Cheng* 1؛ Pengsheng Wu2 | ||
| 1School of Mathematical Sciences, Chongqing Normal University, Chongqing, China | ||
| 2School of Mathematical Sciences, Chongqing Normal University, Chongqing, China | ||
| چکیده | ||
| In this paper, we establish first order gradient estimates for positive global solutions of the heat equation under closed Finsler-Ricci flow with weighted Ricci curvature RicN bounded below, where N∈ (n,∞). As an application, we derive the corresponding Harnack inequality. Our results are the generalizations and the supplements of the previous known related results. | ||
| کلیدواژه‌ها | ||
| Finsler-Ricci flow؛ gradient estimate؛ heat equation؛ weighted Ricci curvature؛ Ricci curvature tensor | ||
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آمار تعداد مشاهده مقاله: 194 تعداد دریافت فایل اصل مقاله: 207 |
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