Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures

Engström, Christian LU (2021) In Journal of Mathematical Analysis and Applications 499(2).
Abstract

In this paper, we study spectral properties and spectral enclosures for the Gurtin-Pipkin type of integro-differential equations in several dimensions. The analysis is based on an operator function and we consider the relation between the studied operator function and other formulations of the spectral problem. The theory is applied to wave equations with Boltzmann damping.

Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Non-linear spectral problem, Numerical range, Viscoelastic
in
Journal of Mathematical Analysis and Applications
volume
499
issue
2
article number
125063
publisher
Elsevier
external identifiers
  • scopus:85100753266
ISSN
0022-247X
DOI
10.1016/j.jmaa.2021.125063
language
English
LU publication?
no
additional info
Publisher Copyright: © 2021
id
9ab4f52a-676e-4d67-b1dc-b9d07cda0392
date added to LUP
2023-03-24 11:04:36
date last changed
2023-03-24 13:29:44
@article{9ab4f52a-676e-4d67-b1dc-b9d07cda0392,
  abstract     = {{<p>In this paper, we study spectral properties and spectral enclosures for the Gurtin-Pipkin type of integro-differential equations in several dimensions. The analysis is based on an operator function and we consider the relation between the studied operator function and other formulations of the spectral problem. The theory is applied to wave equations with Boltzmann damping.</p>}},
  author       = {{Engström, Christian}},
  issn         = {{0022-247X}},
  keywords     = {{Non-linear spectral problem; Numerical range; Viscoelastic}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{2}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Mathematical Analysis and Applications}},
  title        = {{Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures}},
  url          = {{http://dx.doi.org/10.1016/j.jmaa.2021.125063}},
  doi          = {{10.1016/j.jmaa.2021.125063}},
  volume       = {{499}},
  year         = {{2021}},
}