Controllability of the one-dimensional fractional heat equation under positivity constraints
From MaRDI portal
Publication:2175698
DOI10.3934/cpaa.2020086zbMath1446.93012arXiv1905.06554OpenAlexW3002862574MaRDI QIDQ2175698
Mahamadi Warma, Umberto Biccari, Enrique Zuazua
Publication date: 29 April 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.06554
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Pseudodifferential operators as generalizations of partial differential operators (35S05) Fractional partial differential equations (35R11) Initial-boundary value problems for PDEs with pseudodifferential operators (35S16)
Related Items
Internal control for a non-local Schrödinger equation involving the fractional Laplace operator, On a Fractional Diffusion Equation with Moving Control, Multiplicity of solutions for fractional \(q(\cdot)\)-Laplacian equations, On the stability and null-controllability of an infinite system of linear differential equations, Exact controllability to the trajectories of the one-phase Stefan problem, Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, Approximate and mean approximate controllability properties for Hilfer time-fractional differential equations, Nonnegative boundary control of 1D linear heat equations, Approximate controllability from the exterior of space fractional parabolic-elliptic coupled systems. Approximate controllability of parabolic-elliptic systems, State-constrained controllability of linear reaction-diffusion systems, Control of reaction-diffusion models in biology and social sciences, Feedback controllability for blowup points of the heat equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A Modeling Language for Mathematical Programming
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- On the interior approximate controllability for fractional wave equations
- Time optimal boundary controls for the heat equation
- Hitchhiker's guide to the fractional Sobolev spaces
- Numerical exact controllability of the 1D heat equation: duality and Carleman weights
- Local elliptic regularity for the Dirichlet fractional Laplacian
- Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign
- Approximate controllability for nonlinear degenerate parabolic problems with bilinear control
- Eigenvalues of the fractional Laplace operator in the interval
- On PDE solution in transient optimization of gas networks
- Continuous-time random walk and parametric subordination in fractional diffusion
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Minimising stop and go waves to optimise traffic flow.
- Optimal birth control of population dynamics. II: Problems with free final time, phase constraints, and mini-max costs
- Controllability under positivity constraints of semilinear heat equations
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- Controllability and positivity constraints in population dynamics with age structuring and diffusion
- Global null-controllability and nonnegative-controllability of slightly superlinear heat equations
- Controllability under positivity constraints of multi-d wave equations
- Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign
- Local regularity for fractional heat equations
- On the constrollability of the 1-D isentropic Euler equation
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- Mixed integer models for the stationary case of gas network optimization
- On the spectrum of two different fractional operators
- Vector-valued Laplace Transforms and Cauchy Problems
- Spectral analysis of subordinate Brownian motions on the half-line
- Approximate controllability for linear degenerate parabolic problems with bilinear control
- Optimal Control in Networks of Pipes and Canals
- LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
- Controllability, stabilizability, and matrix Riccati equations for periodic systems
- Controllability with Positivity Constraints of the Lotka--McKendrick System
- Approximate controllability of the semilinear heat equation
- Minimal controllability time for the heat equation under unilateral state or control constraints
- Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains
- Null controllability from the exterior of a one-dimensional nonlocal heat equation
- Approximate Controllability from the Exterior of Space-Time Fractional Diffusive Equations
- Unique Continuation for Fractional Schrödinger Equations with Rough Potentials
- Shock Waves on the Highway
- Fractional Brownian Motions, Fractional Noises and Applications
- On kinematic waves II. A theory of traffic flow on long crowded roads
