Sobolev spaces \(W^{1,p}(\mathbb{R}^n,\gamma)\) weighted by the Gaussian normal distribution \(\gamma(x):=\frac{1}{\sqrt{\pi}^n}\exp (-|x|^2)\) and the spectral theory

DOI10.1007/S10013-020-00431-1zbMath1480.46048OpenAlexW3043955613MaRDI QIDQ2042246

Friedrich Sauvigny

Publication date: 28 July 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00431-1

zbMATH Keywords

weighted Sobolev spacesunbounded domainsdiscrete spectrumweighted elliptic operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Eigenvalue problems for linear operators (47A75) Weak solutions to PDEs (35D30)

Cites Work

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• Spektraltheorie selbstadjungierter Operatoren im Hilbertraum und elliptischer Differentialoperatoren
• Sobolev Spaces
• Partial differential equations 2. Functional analytic methods. With consideration of lectures by E. Heinz

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