The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains

Jussi Behrndt; Fritz Gesztesy; Till Micheler; Marius Mitrea

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arXiv · 1501.02896

The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains

Jussi Behrndt·Fritz Gesztesy·Till Micheler·Marius Mitrea

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Abstract

In this paper we study the self-adjoint Krein-von Neumann realization $A_K$ of the perturbed Laplacian $-Δ+V$ in a bounded Lipschitz domain $Ω\subset\mathbb{R}^n$. We provide an explicit and self-contained description of the domain of $A_K$ in terms of Dirichlet and Neumann boundary traces, and we establish a Weyl asymptotic formula for the eigenvalues of $A_K$.

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BibTeX RIS

Jussi Behrndt, Fritz Gesztesy, Till Micheler, Marius Mitrea. 2015-01-13. The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains. https://arxiv.org/abs/1501.02896

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