Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain

DOI10.1017/prm.2019.48zbMath1459.35300arXiv1809.10963OpenAlexW2967308610MaRDI QIDQ4965377

Nicolas Popoff, Jari Taskinen, Sergueï A. Nazarov

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10963

zbMATH Keywords

Laplace operatorresidual spectrumspectral problemRobin conditioncuspidal domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (3)

``Blinking eigenvalues of the Steklov problem generate the continuous spectrum in a cuspidal domain ⋮ Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions ⋮ On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

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