Global null-controllability and nonnegative-controllability of slightly superlinear heat equations
From MaRDI portal
Publication:2296329
DOI10.1016/j.matpur.2019.10.009zbMath1436.93065arXiv1810.12232OpenAlexW2982635468MaRDI QIDQ2296329
Publication date: 18 February 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12232
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Observability (93B07)
Related Items
On uniform observability of gradient flows in the vanishing viscosity limit ⋮ Controllability of the one-dimensional fractional heat equation under positivity constraints ⋮ Null controllability for semilinear heat equation with dynamic boundary conditions ⋮ Global null-controllability for stochastic semilinear parabolic equations ⋮ Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term ⋮ Constructive exact control of semilinear 1D heat equations ⋮ Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory ⋮ Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities ⋮ Controlled boundary explosions: dynamics after blow-up for some semilinear problems with global controls ⋮ Exact controllability of semilinear heat equations through a constructive approach ⋮ Observability and control of parabolic equations on networks with loops ⋮ Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations ⋮ Local null-controllability of a nonlocal semilinear heat equation ⋮ State-constrained controllability of linear reaction-diffusion systems ⋮ Approximation of null controls for semilinear heat equations using a least-squares approach ⋮ Control of reaction-diffusion models in biology and social sciences ⋮ Feedback controllability for blowup points of the heat equation ⋮ A uniform bound on costs of controlling semilinear heat equations on a sequence of increasing domains and its application
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Null controllability of some reaction-diffusion systems with only one control force in moving domains
- Null controllability of viscous Hamilton-Jacobi equations
- Numerical exact controllability of the 1D heat equation: duality and Carleman weights
- Global existence in reaction-diffusion systems with control of mass: a survey
- Recent results on the controllability of linear coupled parabolic problems: a survey
- Functional analysis, Sobolev spaces and partial differential equations
- On the parabolic kernel of the Schrödinger operator
- Compact sets in the space \(L^ p(0,T;B)\)
- On the Leray-Schauder alternative
- Finite dimensional null controllability for the semilinear heat equation
- Null controllability for the dissipative semilinear heat equation
- Exact controllability of the superlinear heat equation
- Null and approximate controllability for weakly blowing up semilinear heat equations
- The problem of blow-up in nonlinear parabolic equations
- Controllability and stabilization of parabolic equations
- Controllability of a \(4 \times 4\) quadratic reaction-diffusion system
- Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth
- Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
- Exact controllability for semilinear wave equations in one space dimension
- Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
- Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations
- Exact local controllability of a one-control reaction-diffusion system
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Null-controllability of some reaction-diffusion systems with one control force
- Uniform observability estimates for linear waves
- Controllability of linear and semilinear non-diagonalizable parabolic systems
- Regional Blow Up in a Semilinear Heat Equation with Convergence to a Hamilton–Jacobi Equation
- On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
- Null controllability of the heat equation with boundary Fourier conditions: the linear case
- Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Null controllability of the semilinear heat equation
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- Insensitizing controls for a semilinear heat equation
- Global Carleman Inequalities for Parabolic Systems and Applications to Controllability