Resolvent estimates, wave decay, and resonance-free regions for star-shaped waveguides

DOI10.4310/MRL.2022.v29.n1.a4zbMath1500.35104arXiv1910.01038OpenAlexW2977611836MaRDI QIDQ2171423

Kiril Datchev, Tanya Christiansen

Publication date: 9 September 2022

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01038

zbMATH Keywords

Dirichlet problemresolvent estimatesLaplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectrum, resolvent (47A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Manifolds with cylindrical ends having a finite and positive number of embedded eigenvalues

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