Distant perturbations of the Laplacian in a multi-dimensional space

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Distant perturbations of the Laplacian in a multi-dimensional space

Original language description

We consider the Laplacian in R-n perturbed by a finite number of distant perturbations that are abstract localized operators. We study the asymptotic behaviour of the discrete spectrum as the distances between perturbations tend to infinity. The main results are a convergence theorem and the asymptotic expansions for the eigenelements. Some examples of the possible distant perturbations are given; they may be a multiplication operator, second order differential operator, magnetic Schrodinger operator, integral operator, and delta-potential. Document Type: Article

Czech name

Vzdálené poruchy Laplacianu ve vícerozměrném prostoru

Czech description

Uvažujeme Laplacin v R-n s konečným počtem navzájem vzdálených poruch daných abstraktními lokalizovanými operátory. Studováno asymptotické chování diskrétního spektra pro vzdálenosti poruch rostoucí do nekonečna.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Annales Henri Poincare

ISSN

1424-0637

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

7

Country of publishing house

CH - SWITZERLAND

Number of pages

29

Pages from-to

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UT code for WoS article

000251319900006

EID of the result in the Scopus database

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