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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| Date: | 2024 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2024
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1071 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |