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Reduction of dimension as a consequence of norm-resolvent convergence and applications
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SYSNO ASEP 0495559 Document Type J - Journal Article R&D Document Type The record was not marked in the RIV Subsidiary J Článek ve WOS Title Reduction of dimension as a consequence of norm-resolvent convergence and applications Author(s) Krejčiřík, D. (CZ)
Raymond, N. (FR)
Royer, J. (FR)
Siegl, Petr (UJF-V) RIDNumber of authors 4 Source Title Mathematika. - : Wiley - ISSN 0025-5793
Roč. 64, č. 2 (2018), s. 406-429Number of pages 24 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords asymptotics ; differential equation ; bounds Subject RIV BE - Theoretical Physics OECD category Pure mathematics Institutional support UJF-V - RVO:61389005 UT WOS 000432708800006 EID SCOPUS 85054317278 DOI 10.1112/S0025579318000013 Annotation This paper is devoted to dimensional reductions via the normresolvent 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 partial differential equation problems from various areas of mathematical physics. All are analysed in a unified manner, known results are recovered and new ones established. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2019
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