کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592608 | 1335115 | 2008 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Li–Yau–Hamilton estimate and the Yang–Mills heat equation on manifolds with boundary
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Li–Yau–Hamilton estimate and the Yang–Mills heat equation on manifolds with boundary The Li–Yau–Hamilton estimate and the Yang–Mills heat equation on manifolds with boundary](/preview/png/4592608.png)
چکیده انگلیسی
The paper pursues two connected goals. Firstly, we establish the Li–Yau–Hamilton estimate for the heat equation on a manifold M with nonempty boundary. Results of this kind are typically used to prove monotonicity formulas related to geometric flows. Secondly, we establish bounds for a solution ∇(t) of the Yang–Mills heat equation in a vector bundle over M. The Li–Yau–Hamilton estimate is utilized in the proofs. Our results imply that the curvature of ∇(t) does not blow up if the dimension of M is less than 4 or if the initial energy of ∇(t) is sufficiently small.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 255, Issue 10, 15 November 2008, Pages 2933-2965
Journal: Journal of Functional Analysis - Volume 255, Issue 10, 15 November 2008, Pages 2933-2965