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

0495559 - ÚJF 2019 GB eng J - Journal Article
Krejčiřík, D. - Raymond, N. - Royer, J. - Siegl, Petr
Reduction of dimension as a consequence of norm-resolvent convergence and applications.
Mathematika. Roč. 64, č. 2 (2018), s. 406-429. ISSN 0025-5793. E-ISSN 2041-7942
Institutional support: RVO:61389005
Keywords : asymptotics * differential equation * bounds
OECD category: Pure mathematics
Impact factor: 0.689, year: 2018

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.
Permanent Link: http://hdl.handle.net/11104/0288511