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SPECTRUM OF THE LAPLACIAN IN A NARROW CURVED STRIP WITH COMBINED DIRICHLET AND NEUMANN BOUNDARY CONDITIONS
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SYSNO ASEP 0330433 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název SPECTRUM OF THE LAPLACIAN IN A NARROW CURVED STRIP WITH COMBINED DIRICHLET AND NEUMANN BOUNDARY CONDITIONS Tvůrce(i) Krejčiřík, David (UJF-V) RID Zdroj.dok. ESAIM-Control Optimisation and Calculus of Variations. - : EDP Sciences - ISSN 1292-8119
Roč. 15, č. 3 (2009), s. 555-568Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. FR - Francie Klíč. slova Laplacian in tubes ; Dirichlet and Neumann boundary conditions ; dimension reduction Vědní obor RIV BE - Teoretická fyzika CEP LC06002 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000268125200004 DOI 10.1051/cocv:2008035 Anotace We consider the Laplacian in a domain squeezed between two parallel curves in the plane, subject to Dirichlet boundary conditions on one of the curves and Neumann boundary conditions on the other. We derive two-term asymptotics for eigenvalues in the limit when the distance between the curves tends to zero. The asymptotics are uniform and local in the sense that the coefficients depend only on the extremal points where the ratio of the curvature radii of the Neumann boundary to the Dirichlet one is the biggest. We also show that the asymptotics can be obtained from a form of norm-resolvent convergence which takes into account the width-dependence of the domain of definition of the operators involved. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2010
Počet záznamů: 1