Eigenfunction expansions in thermoelasticity
type: Item
instance of: scholarly article
title: Eigenfunction expansions in thermoelasticity
zbMATH Open document ID: 0609.73006
DOI: 10.1016/0022-247X(86)90182-4
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: Spectral theorems for some (non-) self-adjoint differential operators of linear thermoelasticity using eigenfunction expansions are given. The procedure applied consists in: (1) analyzing the thermoelastic problem for an infinite, isotropic, and homogeneous medium; (2) deriving the eigenfunction expansions of the operators by means of Fourier transformation, which leads also to the solution of the time dependent problem; (3) generalizing the results to operators satisfying some restrictions on spectra.
reviewed by: J. L. Nowinski
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 47A70
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 3986721
zbMATH Keywords: generalization of Stone's formula
zbMATH Keywords: Spectral theorems
zbMATH Keywords: (non-) self-adjoint differential operators
zbMATH Keywords: linear thermoelasticity
zbMATH Keywords: eigenfunction expansions
zbMATH Keywords: infinite, isotropic, and homogeneous medium
zbMATH Keywords: Fourier transformation
zbMATH Keywords: time dependent problem
author: Reinhard Racke
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3986721