Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, Petr (2018). Reduction of dimension as a consequence of norm-resolvent convergence and applications. Mathematika, 64(2), pp. 406-429. Cambridge University Press 10.1112/S0025579318000013
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Mathematika_-_2018_-_Krej_i_k_-_REDUCTION_OF_DIMENSION_AS_A_CONSEQUENCE_OF_NORM_RESOLVENT_CONVERGENCE_AND_APPLICATIONS.pdf - Published Version Available under License Publisher holds Copyright. Download (177kB) | Preview |
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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Siegl, Petr |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-5793 |
Publisher: |
Cambridge University Press |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
20 May 2019 11:30 |
Last Modified: |
05 Apr 2023 00:25 |
Publisher DOI: |
10.1112/S0025579318000013 |
ArXiv ID: |
1701.08819v1 |
BORIS DOI: |
10.7892/boris.126065 |
URI: |
https://boris.unibe.ch/id/eprint/126065 |
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