Explicit Solution to the Birman Problem for the 2D-Laplace Operator

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发表日期：

2024年9月1日

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M. Malamud

摘要

Abstract

We construct an appropriate restriction of the 2-dimensional Laplace operator that has compact preresolvent though the resolvent of its Friedrichs extension is not compact and, moreover, its spectrum is absolutely continuous. This result solves the Birman problem.

DOI 10.1134/S1061920824030117