Spectral properties of the Laplacian in the complement of a deformed cylinder

DOI10.1007/BF00251801zbMath0631.35071OpenAlexW4247661336MaRDI QIDQ1094594

Walter Littman

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251801

zbMATH Keywords

Dirichlet problemunbounded domainsLaplacianabsence of positive eigenvaluescomplement of a cylinder

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Rellich type decay theorem for equationP(D)u= ƒ with ƒ supported in infinite cyclinders

Cites Work

• Scattering theory for the d'Alembert equation in exterior domains

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