On the bounded smooth solutions to exponentially stable linear nonautonomous hyperbolic systems

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) A priori estimates in context of PDEs (35B45) First-order hyperbolic systems (35L40)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Stability and boundary stabilization of 1-D hyperbolic systems
Fredholm solvability of time-periodic boundary value hyperbolic problems
A strict $H^1$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction
Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model
Fredholm alternative and solution regularity for time-periodic hyperbolic systems.
Perturbations of superstable linear hyperbolic systems
Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
On the spectrum of evolution operators generated by hyperbolic systems
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces
Boundary feedback control of linear hyperbolic systems: application to the Saint-Venant-Exner equations
A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
Perturbation theory for linear operators.
Applied functional analysis. Applications to mathematical physics. Vol. 1
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
Exponential stability of density-velocity systems with boundary conditions and source term for the $H^2$ norm
Bounded and almost periodic solvability of nonautonomous quasilinear hyperbolic systems
Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip
Time-periodic solutions to quasilinear hyperbolic systems with time-periodic boundary conditions
On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
Subsonic time-periodic solution to compressible Euler equations with damping in a bounded domain
On the Type of Certain C^o-Semigroups
Boundary Control of PDEs
Spectral mapping theorem for linear hyperbolic systems
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
One-Parameter Semigroups for Linear Evolution Equations
Smoothing Effect and Fredholm Property for First-order Hyperbolic PDEs
Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm
Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm
Subsonic time-periodic solution to the compressible Euler equations triggered by boundary conditions

This page was built for publication: On the bounded smooth solutions to exponentially stable linear nonautonomous hyperbolic systems