C0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain

被引：0

作者：

Birgit Jacob

Kirsten Morris

Hans Zwart

机构：

[1] Arbeitsgruppe Funktionalanalysis University of Wuppertal,Fachbereich C

[2] University of Waterloo, Mathematik und Naturwissenschaften

[3] University of Twente,Department of Applied Mathematics

来源：

Journal of Evolution Equations | 2015年 / 15卷

关键词：

-semigroups; Hyperbolic partial differential equations; Port-Hamiltonian differential equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of non-homogeneous transmission lines. The main result of this paper is a simple test for C0-semigroup generation in terms of the boundary conditions. The result is illustrated with several examples.

引用

页码：493 / 502

页数：9