论文标题

Gurtin Pipkin类型的整数差异方程和应用到分级粘弹性结构的波的光谱

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

论文作者

Engström, Christian

论文摘要

在本文中,我们研究了在几个维度上的gurtin pipkin类型的内形分化方程式的光谱特性和光谱外壳。该分析基于操作员函数,我们考虑研究的操作员函数与光谱问题的其他配方之间的关系。该理论应用于玻尔兹曼阻尼的波动方程。

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.

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