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Can one see the fun...
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Maz´ya, Vladimir G.,1937-Linköpings universitet,Tekniska högskolan,Tillämpad matematik
(author)
Can one see the fundamental frequency of a drum?
- Article/chapterEnglish2005
Publisher, publication year, extent ...
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2005-11-15
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Springer Science and Business Media LLC,2005
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printrdacarrier
Numbers
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LIBRIS-ID:oai:DiVA.org:liu-35982
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https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-35982URI
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https://doi.org/10.1007/s11005-005-0010-1DOI
Supplementary language notes
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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We establish two-sided estimates for the fundamental frequency (the lowest eigenvalue) of the Laplacian in an open set Ω⊂ℝn with the Dirichlet boundary condition. This is done in terms of the interior capacitary radius of Ω which is defined as the maximal possible radius of a ball B with a negligible intersection with the complement of Ω. Here negligibility of F ⊂ B means that cap(F)≤γ cap (B), where cap a means the Wiener (harmonic) capacity and γ is arbitrarily fixed with the sole restriction 0 < γ < 1. We provide explicit values of constants in the two-sided estimates. © Springer 2005.
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Shubin, Mikhail
(author)
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Linköpings universitetTekniska högskolan
(creator_code:org_t)
Related titles
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In:Letters in Mathematical Physics: Springer Science and Business Media LLC74:2, s. 135-1510377-90171573-0530
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