A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is
Linear Hyperbolic Systems on Networks: well-posedness and qualitative properties
E S A I M: Control, Optimisation and Calculus of Variations
We study hyperbolic systems of one - dimensional partial differential equations under general , possibly non-local boundary conditions. A large class of evolution equations, either on individual 1- dimensional intervals or on general networks , can be reformulated in our rather flexible formalism , which generalizes the classical technique of first - order reduction . We study forward and backward well - posedness ; furthermore , we provide necessary and sufficient conditions on both thedoi:10.1051/cocv/2020091 fatcat:xl6etajj6vftfknaebxcsxt2ke