Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems
From MaRDI portal
Publication:2048517
DOI10.1016/j.jde.2021.05.046zbMath1470.35214arXiv2202.03249OpenAlexW3164449080MaRDI QIDQ2048517
Buddhika Priyasad, Roberto Triggiani, Irena Lasiecka
Publication date: 6 August 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.03249
Boussinesq systemsabstract maximal \(L^p\)-regularity resultfeedback controls acting on the boundary
Feedback control (93B52) Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) PDEs in connection with fluid mechanics (35Q35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients
- Stabilization of Neumann boundary feedback of parabolic equations: The case of trace in the feedback loop
- The existence and uniqueness of very weak solutions of the stationary Boussinesq system
- Stationary Stokes, Oseen and Navier-Stokes equations with singular data
- Maximal regularity for parabolic initial-boundary value problems in Sobolev spaces
- Unique continuation from an arbitrary interior subdomain of the variable-coefficient Oseen equation
- Unique continuation of boundary over-determined Stokes and Oseen eigenproblems
- Weighted Schauder estimates for evolution Stokes problem
- Boussinesq system with non-homogeneous boundary conditions
- Semigroups of linear operators and applications to partial differential equations
- Maximal regularity for evolution equations by interpolation and extrapolation
- Boundary feedback stabilizability of parabolic equations
- Well-posedness and regularity of boundary feedback parabolic systems
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- On the stabilizability problem in Banach space
- Estimates for solutions of nonstationary Navier-Stokes equations
- On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries
- Stabilization for the 3D Navier-Stokes system by feedback boundary control.
- On the strong solvability of the Navier-Stokes equations
- Maximal \(L^p\) regularity for elliptic equations with unbounded coefficients
- Controllability and stabilization of parabolic equations
- Stabilization of Navier-Stokes flows.
- Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls
- Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls
- Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers
- Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
- The Boussinesq system with mixed nonsmooth boundary data
- Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analysis in Banach Spaces
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Uniform Stabilization with Arbitrary Decay Rates of the Oseen Equation by Finite-Dimensional Tangential Localized Interior and Boundary Controls
- Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications
- Stabilization and Structural Assignment of Dirichlet Boundary Feedback Parabolic Equations
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Lptheory for Boussinesq system with Dirichlet boundary conditions
- Prolongement Unique Des Solutions
- Tangential boundary stabilization of Navier-Stokes equations
- Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
- Équations différentielles abstraites
- Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
- Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control
- Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
