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arXiv · 1402.6737

Some remarks on the Krein--von Neumann extension of different Laplacians

Delio Mugnolo
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Abstract

We discuss the Krein--von Neumann extensions of three Laplacian-type operators -- on discrete graphs, quantum graphs, and domains. In passing we present a class of one-dimensional elliptic operators such that for any $n\in \mathbb N$ infinitely many elements of the class have $n$-dimensional null space.

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Delio Mugnolo. 2014-02-26. Some remarks on the Krein--von Neumann extension of different Laplacians. https://doi.org/10.1007/978-3-319-12145-1_5

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