Well-posedness of systems of 1-D hyperbolic partial differential equations

DOI10.1007/s00028-018-0470-2OpenAlexW3106442958MaRDI QIDQ2419917

Julia T. Kaiser, Birgit Jacob

Publication date: 4 June 2019

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00332

zbMATH Keywords

\(C_0\)-semigroupscontraction semigrouphyperbolic partial differential equationsnetworks of partial differential equationsport-Hamiltonian differential equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Higher-order hyperbolic equations (35L25) First-order hyperbolic systems (35L40)

Related Items (7)

A Structural Observation on Port-Hamiltonian Systems ⋮ Flows on metric graphs with general boundary conditions ⋮ Dissipative extensions and port-Hamiltonian operators on networks ⋮ Well-posedness of a class of hyperbolic partial differential equations on the semi-axis ⋮ Well-posedness of infinite-dimensional non-autonomous passive boundary control systems ⋮ Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances ⋮ Riesz Bases of Port-Hamiltonian Systems

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