Number of the records: 1
Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain
- 1.
SYSNO ASEP 0486817 Document Type C - Proceedings Paper (int. conf.) R&D Document Type The record was not marked in the RIV Title Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain Author(s) Arrieta, J. M. (ES)
Krejčiřík, David (UJF-V) RIDNumber of authors 2 Source Title Integral Methods in Science and Engineering, Analytic Methods, 1. - Cambridge : Springer, 2010 - ISBN 978-0-8176-4898-5 Pages s. 9-19 Number of pages 10 s. Publication form Print - P Action 10th International Conference on Integral Methods in Science and Engineering Event date 07.07.2008 - 10.07.2008 VEvent location Santander Country ES - Spain Event type WRD Language eng - English Country US - United States Keywords eigenvalues ; Laplace operator ; Dirichlet condition Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) Institutional support UJF-V - RVO:61389005 UT WOS 000290915800002 DOI 10.1007/978-0-8176-4899-2_2 Annotation This chapter is concerned with the behavior of the eigenvalues and eigenfunctions of the Laplace operator in bounded domains when the domain undergoes a perturbation. It is well known that if the boundary condition that we are imposing is of Dirichlet type, the kind of perturbations that we may allow in order to obtain the continuity of the spectra is much broader than in the case of a Neumann boundary condition. This is explicitly stated in the pioneer work of Courant and Hilbert [CoHi53], and it has been subsequently clarified in many works, see [BaVy65, Ar97, Da03] and the references therein among others. See also [HeA06] for a general text on different properties of eigenvalues and [HeD05] for a study on the behavior of eigenvalues and in general partial differential equations when the domain is perturbed. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2018
Number of the records: 1