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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 ...
- 2005-11-15
- Springer Science and Business Media LLC,2005
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:liu-35982
- https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-35982URI
- https://doi.org/10.1007/s11005-005-0010-1DOI
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- Language:English
- Summary in:English
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Notes
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- MATHEMATICS
- MATEMATIK
Added entries (persons, corporate bodies, meetings, titles ...)
- Shubin, Mikhail (author)
- Linköpings universitetTekniska högskolan (creator_code:org_t)
Related titles
- In:Letters in Mathematical Physics: Springer Science and Business Media LLC74:2, s. 135-1510377-90171573-0530
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