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

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.

Cited by in corpus (3)

• On exact controllability of infinite-dimensional linear port-Hamiltonian systems
• Well-posedness of a class of hyperbolic partial differential equations on the semi-axis
• Dissipative extensions and port-Hamiltonian operators on networks