کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896637 | 1630591 | 2018 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions](/preview/png/8896637.png)
چکیده انگلیسی
We prove Li-Yau type gradient bounds for the heat equation either on manifolds with fixed metric or under the Ricci flow. In the former case the curvature condition is |Ricâ|âLp for some p>n/2, or supMâ¡â«M|Ricâ|2(y)d2ân(x,y)dy<â, where n is the dimension of the manifold. In the later case, one only needs scalar curvature being bounded. We will explain why the conditions are nearly optimal and give an application. The Li-Yau bound for the heat equation on manifolds with fixed metric seems to be the first one allowing Ricci curvature not bounded from below.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 275, Issue 2, 15 July 2018, Pages 478-515
Journal: Journal of Functional Analysis - Volume 275, Issue 2, 15 July 2018, Pages 478-515
نویسندگان
Qi S. Zhang, Meng Zhu,