Well-posedness and properties of the flow for semilinear evolution equations

One-parameter semigroups and linear evolution equations (47D06) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Cites Work

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Approximate local output regulation for nonlinear distributed parameter systems
Linear port-Hamiltonian systems on infinite-dimensional spaces.
ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
Well-posed systems -- the LTI case and beyond
Stability and stabilization of nonlinear systems.
Input-to-state stability for PDEs
From PDEs with boundary control to the abstract state equation with an unbounded input operator: a tutorial. With discussion by Laurent Lefèvre and Didier Georges and comments by the authors.
Zero-class admissibility of observation operators
Semigroups of linear operators and applications to partial differential equations
Geometric theory of semilinear parabolic equations
Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control
Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
On continuity of solutions for parabolic control systems and input-to-state stability
Infinite dimensional time-varying systems with nonlinear output feedback
Nonlinear small-gain theorems for input-to-state stability of infinite interconnections
Approximate local output regulation for a class of nonlinear fluid flows
Well-posedness and stability of non-autonomous semilinear input-output systems
A class of incrementally scattering-passive nonlinear systems
Input-to-state stability for parabolic boundary control: linear and semilinear systems
ISS property with respect to boundary disturbances for a class of Riesz-spectral boundary control systems
Stability conditions for infinite networks of nonlinear systems and their application for stabilization
Well-posedness of infinite-dimensional linear systems with nonlinear feedback
Weak input-to-state stability: characterizations and counterexamples
Input-to-state stability of infinite-dimensional control systems
Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
The functional calculus for sectorial operators
Semi-groups of nonlinear contractions and dissipative sets
ISS with Respect to Boundary Disturbances for 1-D Parabolic PDEs
Wave Equation With Cone-Bounded Control Laws
Vector-valued Laplace Transforms and Cauchy Problems
A vector small-gain theorem for general non-linear control systems
A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications
Admissibility of Unbounded Control Operators
One-Parameter Semigroups for Linear Evolution Equations
Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
Introduction to Infinite-Dimensional Systems Theory
Local Stabilization of an Unstable Parabolic Equation via Saturated Controls
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances
Non-uniform ISS small-gain theorem for infinite networks
A Lyapunov-Based Small-Gain Theorem for Infinite Networks
Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems
Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
A De Giorgi Iteration-Based Approach for the Establishment of ISS Properties for Burgers’ Equation With Boundary and In-domain Disturbances
Characterizations of input-to-state stability for infinite-dimensional systems
Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
Exact controllability of a class of nonlinear distributed parameter systems using back-and-forth iterations
A Lyapunov-Based ISS Small-Gain Theorem for Infinite Networks of Nonlinear Systems
Input-to-state stability. Theory and applications

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