$ \text{R}^3 $中Neumann-Laplace算子格林函数的逐点界

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-01-01 DOI:10.3934/krm.2021037

D. Hoff

引用次数: 0

摘要

We derive pointwise bounds for the Green's function and its derivatives for the Laplace operator on smooth bounded sets in \begin{document}$ {\bf R}^3 $\end{document} subject to Neumann boundary conditions. The proofs require only ordinary calculus, scaling arguments and the most basic facts of \begin{document}$ L^2 $\end{document}-Sobolev space theory.

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Pointwise bounds for the Green's function for the Neumann-Laplace operator in $ \text{R}^3 $

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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.