On eigenfrequencies of bodies with thin branches. II: Asymptotics
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Publication:1897211
DOI10.1007/BF02110759zbMath0839.35091MaRDI QIDQ1897211
Publication date: 24 September 1995
Published in: Mathematical Notes (Search for Journal in Brave)
Sturm-Liouville problemasymptotics of eigenvaluesNeumann problem for the Laplace operatorboundary value problems on eigenvaluesDirichlet problem for the Laplace operatorlimit values of the eigenfunctions
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (6)
Norm resolvent convergence of elliptic operators in domains with thin spikes ⋮ On eigenelements of a two-dimensional Steklov-type boundary value problem for the Lamé operator ⋮ Open waveguides in doubly periodic junctions of domains with different limit dimensions ⋮ Asymptotic behaviour of the Steklov spectrum on dumbbell domains ⋮ Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions ⋮ Localization of eigenfunctions of the Laplace operator in a domain with a perforated barrier
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