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arXiv · 1709.00332

Well-posedness of networks for 1-D hyperbolic partial differential equations

Birgit Jacob·Julia T. Kaiser
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Abstract

We consider the well-posedness of a class of hyperbolic partial differential equations on a one dimensional spatial domain. This class includes in particular infinite-dimensional networks of transport, wave and beam equations, or even combinations of these. Equivalent conditions for contraction semigroup generation are derived. In the first part we assume a finite interval and in the second part, we consider partial differential equations on the semi-axis.

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Birgit Jacob, Julia T. Kaiser. 2017-09-01. Well-posedness of networks for 1-D hyperbolic partial differential equations. https://doi.org/10.1007/s00028-018-0470-2

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