Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
(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:
https://lup.lub.lu.se/record/9ab4f52a-676e-4d67-b1dc-b9d07cda0392
- author
- Engström, Christian LU
- publishing date
- 2021-07-15
- 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}}, }