The perturbed Laplace operator in a weighted \(L^ 2\)-space

DOI10.1016/0022-1236(91)90117-NzbMath0762.35020OpenAlexW2092007573MaRDI QIDQ1178609

S. Singh

Publication date: 26 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90117-n

zbMATH Keywords

Friedrichs extensionmultiplicative perturbationwave propagation in non-homogeneous media

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Parabolic variational inequalities with generalized reflecting directions ⋮ Multiplicative perturbations in semigroup theory with the (Z)-condition ⋮ Asymptotical expansions of solutions of linear parabolic equations as \(t\to \infty\) ⋮ The cauchy problem for the wave equation in an inhomogeneous medium ⋮ Multiplicative perturbations of the Laplacian and related approximation problems ⋮ On the Cauchy problem for nonlinear parabolic equations with variable density ⋮ Hyperbolic equations with growing coefficients in unbounded domains ⋮ The spectrum of weighted Laplace operator in unbounded domains ⋮ Radiation principle for inhomogeneous media ⋮ Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup

Cites Work

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• The Cauchy problem for the nonlinear filtration equation in an inhomogeneous medium
• On the spectra and eigenfunctions of the Schrödinger and Maxwell operators
• Propagation of thermal waves in an inhomogeneous medium
• Non-linear diffusion in a finite mass medium
• Singular Elliptic Operators of Second Order with Purely Discrete Spectra
• THE PRINCIPLE OF LIMIT AMPLITUDE

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