阻尼弹性波动方程的谱框

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Mathematics in Engineering Pub Date : 2021-08-17 DOI:10.3934/mine.2022052

B. Cassano, Lucrezia Cossetti, L. Fanelli

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引用次数: 5

摘要

本文研究了阻尼弹性波动方程的谱性质。推导出该模型的特征值问题与具有非自伴随摄动的lam算子问题的对应关系，用合适的阻尼系数范数给出了点谱位置的定量界限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spectral enclosures for the damped elastic wave equation

In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lamé operators with non self-adjoint perturbations, we provide quantitative bounds on the location of the point spectrum in terms of suitable norms of the damping coefficient.

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