Neumann边界条件下核的再现

Punjab University Journal of Mathematics Pub Date : 2022-11-30 DOI:10.52280/pujm.2022.541102

Gautam Patel, Kaushal Patel

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引用次数: 0

摘要

我们研究了一个核空间，它是一类特殊的希尔伯特空间。我们讨论了再现核的各种性质。特别地，我们的目标是在具有内积和范数的特定函数空间(Sobolev空间)的再现空间中构造核。此外，我们还导出了诺伊曼边界条件下的再现核。

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Reproducing Kernel for Neumann Boundary Conditions

We investigate a kernel space which is a particular class of Hilbert space. We discuss various properties of the reproducing kernel. In particular, our aim to construct kernel in reproducing space of the specific function space (Sobolev space) with the inner product and norm. Also, we derive the reproducing kernel for Neumann boundary conditions.

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Punjab University Journal of Mathematics

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