论文标题
网络上线性双曲系统的动态传输条件
Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks
论文作者
论文摘要
我们研究可以通过双曲线系统对网络上的进化方程。我们通过讨论可能是固定或动态类型或两者组合的相当通用的传输条件下讨论良好的传播条件下的拟合条件，将以前的发现扩展在\ cite {kramugnic20}中。我们的结果依赖于半群理论和基本线性代数。我们还讨论解决方案的定性特性。
We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in \cite{KraMugNic20} by discussing well-posedness under rather general transmission conditions that might be either of stationary or dynamic type - or a combination of both. Our results rely upon semigroup theory and elementary linear algebra. We also discuss qualitative properties of solutions.
