The spectrum of a weighted Laplacian in the half-space

DOI10.1002/mma.3476zbMath1334.35182OpenAlexW1709771450MaRDI QIDQ2786695

Tahar Zamène Boulmezaoud, Nabil Kerdid

Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3476

zbMATH Keywords

unbounded domainsspectral theoryhalf-spaceweighted Laplacian

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47)

Cites Work

• Elliptic problems with \(L^1\)-data in the half-space
• Functional analysis, Sobolev spaces and partial differential equations
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Eigenfunctions of a weighted Laplace operator in the whole space
• On the steady Oseen problem in the whole space
• Spherical harmonics
• Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
• Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space
• On the Stokes system and on the biharmonic equation in the half-space: an approach via weighted Sobolev spaces
• On the Laplace operator and on the vector potential problems in the half‐space: an approach using weighted spaces
• Functional Analysis
• Change of stability for Schrödinger semigroups
• Spherical Harmonics

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