Spectral deformations and exponential decay of eigenfunctions for the Neumann Laplacian on manifolds with quasicylindrical ends

Autor:	Victor Kalvin
Rok vydání:	2015
Předmět:	Perfectly matched layer Applied Mathematics Operator (physics) Spectrum (functional analysis) Mathematical analysis Mathematics::Spectral Theory Eigenfunction Exponential decay Absolute continuity Laplace operator Analysis Eigenvalues and eigenvectors Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 432:749-760
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2015.07.008
Popis:	We study spectral properties of the Neumann Laplacian on manifolds with quasicylindrical ends. In particular, we prove exponential decay of the non-threshold eigenfunctions and show that the eigenvalues can accumulate only at thresholds of the absolutely continuous spectrum and only from below. The non-threshold eigenvalues are also discrete eigenvalues of a non-selfadjoint operator.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7062f5c563b495117ec198529fe95119 https://doi.org/10.1016/j.jmaa.2015.07.008 Zobrazit plný text záznamu Full Text from ScienceDirect