Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness
Keyword(s):
<p style='text-indent:20px;'>The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's-type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup-theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided.</p>
1980 ◽
Vol 15
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pp. 1113-1127
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2006 ◽
Vol 133
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pp. 87-99
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1957 ◽
Vol 9
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pp. 141-160
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1977 ◽
Vol 16
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pp. 388-389
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Vol 35
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pp. 15-21
2020 ◽
Vol 28
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pp. 727-738