The spectrum of a weighted Laplacian in the half-space

J. Banasiak In this paper, we deal with spectral properties of a weighted Laplacian in the half‐space when a Dirichlet or a Neumann boundary condition is imposed. After proving that the spectrum is discrete under suitable assumptions, we give explicit formulae of eigenvalues and eigenfunctions in a...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2016-01, Vol.39 (2), p.280-288
Hauptverfasser:	Boulmezaoud, Tahar Zamène, Kerdid, Nabil
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Dirichlet problem Eigenfunctions Eigenvalues Functions (mathematics) Half spaces half-space Mathematical analysis Mathematics Spectra spectral theory unbounded domains weighted Laplacian
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