Reduction of dimension as a consequence of norm-resolvent convergence and applications

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00321120" target="_blank" >RIV/68407700:21340/18:00321120 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1112/S0025579318000013" target="_blank" >http://dx.doi.org/10.1112/S0025579318000013</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1112/S0025579318000013" target="_blank" >10.1112/S0025579318000013</a>

Result language

angličtina

Original language name

Reduction of dimension as a consequence of norm-resolvent convergence and applications

Original language description

This paper is devoted to dimensional reductions via the norm resolvent convergence. We derive explicit bounds on the resolvent difference as well as spectral asymptotics. The efficiency of our abstract tool is demonstrated by its application on seemingly different PDE problems from various areas of mathematical physics; all are analysed in a unified manner now, known results are recovered and new ones established.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA18-08835S" target="_blank" >GA18-08835S: Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra</a><br>

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2018

Confidentiality

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

Name of the periodical

Mathematika

ISSN

0025-5793

e-ISSN

2041-7942

Volume of the periodical

64

Issue of the periodical within the volume

2

Country of publishing house

GB - UNITED KINGDOM

Number of pages

24

Pages from-to

406-429

UT code for WoS article

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EID of the result in the Scopus database

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