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Cheng, Xinyue, Wu, Pengsheng. (1401). Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow. سامانه مدیریت نشریات علمی, 3(1), 1-15. doi: 10.22098/jfga.2022.10956.1067
Xinyue Cheng; Pengsheng Wu. "Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow". سامانه مدیریت نشریات علمی, 3, 1, 1401, 1-15. doi: 10.22098/jfga.2022.10956.1067
Cheng, Xinyue, Wu, Pengsheng. (1401). 'Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow', سامانه مدیریت نشریات علمی, 3(1), pp. 1-15. doi: 10.22098/jfga.2022.10956.1067
Cheng, Xinyue, Wu, Pengsheng. Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow. سامانه مدیریت نشریات علمی, 1401; 3(1): 1-15. doi: 10.22098/jfga.2022.10956.1067

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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