On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle

Rainer Hempel

Type: Article

Publication Date: 2005-09-01

Citations: 6

DOI: https://doi.org/10.1016/j.cam.2005.06.014

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Locations

Journal of Computational and Applied Mathematics - View

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+ PDF Chat	Neumann Laplacian in a Perturbed Domain	2022	Diana Barseghyan Baruch Schneider Ly Hong Hai
+ PDF Chat	Magnetic Neumann Laplacian on a domain with a hole	2023	Diana Barseghyan Baruch Schneider Swanhild Bernstein
+	Stable Phase Retrieval in Infinite Dimensions	2016	Rima Alaifari Ingrid Daubechies Philipp Grohs Rujie Yin
+	Quantitative spectral stability for the Neumann Laplacian in domains with small holes	2025	Veronica Felli Lorenzo Liverani Roberto Ognibene

Works Cited by This (28)

Action	Title	Year	Authors
+	Reflecting Brownian motions and a deletion result for Sobolev spaces of order (1, 2)	1996	Zhen-Qing Chen
+	Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains---the Neumann condition	1985	Shin Ozawa
+	Spectral Theory and Differential Operators	2018	D. E. Edmunds Des Evans
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+ PDF Chat	Spectra of domains with small spherical Neumann boundary	1982	Shin Ozawa
+	On Neumann's problem in domains with nonregular boundaries	1968	Vladimir Maz’ya
+	Spectral properties of Neumann Laplacian of horns	1992	E. B. Davies Barry Simon
+	Sharp remainder estimates in the Weyl formula for the Neumann Laplacian on a class of planar regions	2007	Yu. V. Netrusov
+	Ridged Domains, Embedding Theorems and Poincaré Inequalities	2001	W. D. Evans D.J. Harris Luboš Pick