Well-posedness of a class of hyperbolic partial differential equations on the semi-axis
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Publication:2285557
DOI10.1007/S00028-019-00507-7OpenAlexW3104493540WikidataQ128024014 ScholiaQ128024014MaRDI QIDQ2285557
Publication date: 8 January 2020
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.11310
Control/observation systems governed by partial differential equations (93C20) One-parameter semigroups and linear evolution equations (47D06) Networked control (93B70)
Related Items (3)
A Structural Observation on Port-Hamiltonian Systems ⋮ Flows on metric graphs with general boundary conditions ⋮ Dissipative extensions and port-Hamiltonian operators on networks
Cites Work
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- Generator property and stability for generalized difference operators
- Linear port-Hamiltonian systems on infinite-dimensional spaces.
- Well-posed systems -- the LTI case and beyond
- Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
- Boundary triplets for skew symmetric operators and the generation of strongly continuous semigroups
- Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients
- Functional analysis, Sobolev spaces and partial differential equations
- Regular linear systems with feedback
- Hamiltonian formulation of distributed-parameter systems with boundary energy flow
- Perturbation theory for linear operators.
- \(C_{0}\)-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
- Well-posedness of systems of 1-D hyperbolic partial differential equations
- Semigroup methods for evolution equations on networks
- Transfer functions for infinite-dimensional systems
- Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
- Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators
- Boundary systems and (skew‐)self‐adjoint operators on infinite metric graphs
- One-Parameter Semigroups for Linear Evolution Equations
- A simple alternative to the Barbalat lemma
- Variations on Barbalat's lemma
- Exponential Stability of a Class of Boundary Control Systems
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