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math-ph2020
Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
Christian Engström
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…
math-ph2008
On the Spectrum of an Operator Pencil with Applications to Wave Propagation in Periodic and Frequency Dependent Materials
Christian Engstrom, Markus Richter
We study wave propagation in periodic and frequency dependent materials. The approach in this paper leads to spectral analysis of a quadratic operator pencil where the spectral par…