C0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
C0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
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DOI：
10.1007/s00028-014-0271-1
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发表时间：
2015-01
影响因子：
1.4
通讯作者：
B. Jacob;Kirsten Morris;H. Zwart
中科院分区：
文献类型：
--
作者：
B. Jacob;Kirsten Morris;H. Zwart
研究一维空间域上的双曲型偏微分方程。这类系统包括波束和波的模型，以及非均匀传输线的传输方程和网络。本文的主要结果是利用边界条件对C 0-半群生成的一个简单的检验。最后用几个例子说明了结果。
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 forC0-semigroup generation in terms of the boundary conditions. The result is illustrated with several examples.