The Hyperbolic Symmetrizer: Theory and Applications

The Hyperbolic Symmetrizer: Theory and Applications
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双曲对称化器:理论与应用

DOI:
10.1007/978-0-8176-4861-9_7
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发表时间:
2009
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
E. Jannelli
E. Jannelli
中科院分区:
--
文献类型:
--
作者:
E. Jannelli

文献摘要

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双曲对称化子是一个矩阵,它以标准的方式对称任何西尔维斯特双曲矩阵。本文讨论了双曲对称化子理论,它与Bezout矩阵概念的关系,它的扰动(即所谓的拟对称化子)及其在线性弱双曲方程Cauchy问题中的应用。
The hyperbolic symmetrizer is a matrix which symmetrizes in a standard way any Sylvester hyperbolic matrix. This paper deals with the theory of the hyperbolic symmetrizer, its relationships with the concept of Bezout matrix, its perturbations which originate the so–called quasi-symmetrizer and its applications to Cauchy problems for linear weakly hyperbolic equations.