Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition

DOI10.1016/j.crma.2018.07.001zbMath1429.35072arXiv1711.09654OpenAlexW2962857153WikidataQ129519089 ScholiaQ129519089MaRDI QIDQ1671201

Nicolas Popoff, Sergueï A. Nazarov

Publication date: 6 September 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09654

zbMATH Keywords

LaplacianRobin boundary conditionskew-symmetric extensions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (6)

On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates ⋮ Self‐adjointness for the MIT bag model on an unbounded cone ⋮ Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions ⋮ Analysis and boundary value problems on singular domains: an approach via bounded geometry ⋮ Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry ⋮ On negative eigenvalues of the spectral problem for water waves of highest amplitude

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• On the principal eigenvalue of a Robin problem with a large parameter

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