Název: Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain
Autoři: Arrieta, J. M. ; Krejčiřík, David
Typ dokumentu: Příspěvky z konference
Konference/Akce: 10th International Conference on Integral Methods in Science and Engineering, Santander (ES), 20080707
Rok: 2010
Jazyk: eng
Abstrakt: 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.
Klíčová slova: Dirichlet condition; eigenvalues; Laplace operator
Zdrojový dokument: Integral Methods in Science and Engineering, ISBN 978-0-8176-4898-5

Instituce: Ústav jaderné fyziky AV ČR (web)
Informace o dostupnosti dokumentu: Dokument je dostupný v příslušném ústavu Akademie věd ČR.
Původní záznam: http://hdl.handle.net/11104/0281537

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-373399


Záznam je zařazen do těchto sbírek:
Věda a výzkum > AV ČR > Ústav jaderné fyziky
Konferenční materiály > Příspěvky z konference