Well-posedness of systems of 1-D hyperbolic partial differential equations

被引：0

作者：

Birgit Jacob

Julia T. Kaiser

机构：

[1] University of Wuppertal,School of Mathematics and Natural Sciences

来源：

Journal of Evolution Equations | 2019年 / 19卷

关键词：

-semigroups; Contraction semigroup; Hyperbolic partial differential equations; Port-Hamiltonian differential equations; Networks of partial differential equations; 47D06; 35L40; 35L25; 37K99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the well-posedness of a class of hyperbolic partial differential equations on a one-dimensional spatial domain. This class includes in particular infinite networks of transport, wave and beam equations, or even combinations of these. Equivalent conditions for contraction semigroup generation are derived. We consider these equations on a finite interval as well as on a semi-axis.

引用

页码：91 / 109

页数：18

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