论文标题

具有循环和三角洲 - p-Prime顶点条件的图上波方程的确切可控性

Exact Controllability for the Wave Equation on a Graph with Cycle and Delta-Prime Vertex Conditions

论文作者

Avdonin, Sergei, Edward, Julian, Leugering, Gunter

论文摘要

证明了由循环和两个附加边缘组成的度量图上的波方程的确切可控性。使用一个边界和一个内部控制。在内部顶点,满足三角洲的条件。作为第二个例子,我们检查了一个在根和连接处控制的三脚架,而叶子是固定的。这些示例是理解一般度量图中可控性能的关键。

Exact controllability for the wave equation on a metric graph consisting of a cycle and two attached edges is proven. One boundary and one internal control are used. At the internal vertices, delta-prime conditions are satisfied. As a second example, we examine a tripod controlled at the root and the junction, while the leaves are fixed. These examples are key to understanding controllability properties in general metric graphs.

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