论文标题

公制图上非自治传输方程的适应性

Well-posedness of non-autonomous transport equation on metric graphs

论文作者

Budde, Christian, Fijavž, Marjeta Kramar

论文摘要

我们考虑在度量图上具有时间依赖性速度的传输过程,并表明,在速度系数的连续性假设下,相应的非自主抽象的库奇问题是通过进化族和进化半群的手段得到充分解决的。

We consider transport processes on metric graphs with time-dependent velocities and show that, under continuity assumption of the velocity coefficients, the corresponding non-autonomous abstract Cauchy problem is well-posed by means of evolution families and evolution semigroups.

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