A Reilly Type Integral Formula Associated with Diffusion-Type Operators and Its Applications

In this paper, we derive a Reilly type formula for the diffusion-type operator $\mathcal{L}\cdot=\frac{1}{B}\textrm{div}(A\nabla\cdot)$ on weighted manifolds with boundary, where $A$ and $B$ are two positive smooth functions on manifolds. As its applications, some inequalities of Poincaré type, Cole...

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Datum:2024
Hauptverfasser: Zeng, Fanqi, Chang, Huiting, Sun, Yujun
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2024
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Online Zugang:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1071
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Назва журналу:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry