Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion
DOI10.3934/mcrf.2019047zbMath1441.92036OpenAlexW4213402858WikidataQ126800540 ScholiaQ126800540MaRDI QIDQ2175629
Publication date: 29 April 2020
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2019047
diffusioncontrollabilitysemigrouppopulation dynamicsspectral decompositiontime optimal controlbang-bang principle
Controllability (93B05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time optimal boundary controls for the heat equation
- Observability inequalities and measurable sets
- Bang-bang principle of time optimal controls and null controllability of fractional order parabolic equations
- Stabilization of the wave equation by the boundary
- Pontryagin's principle for control problems in age-dependent population dynamics
- Optimal harvesting for a nonlinear age-dependent population dynamics
- Optimal control of population dynamics
- Optimal harvesting in age-structured populations
- Approximation of linear age-structured population models using Legendre polynomials
- Semigroup formulation and approximation of a linear age-dependent population problem with spatial diffusion
- On the semigroup for age dependent population dynamics with spatial diffusion
- On a population dynamics control problem with age dependence and spatial structure
- Null controllability via comparison results for nonlinear age-structured population dynamics
- Exact and approximate controllability of the age and space population dynamics structured model
- Null controllability of the Lotka-McKendrick system with spatial diffusion
- Controllability and positivity constraints in population dynamics with age structuring and diffusion
- Weyl asymptotic formula for the Laplacian on domains with rough boundaries
- Exact controllability of a nonlinear population-dynamics problem
- The structure of optimal time- and age-dependent harvesting in the Lotka-McKendrik population model
- Null controllability of a nonlinear population dynamics problem
- Approximate controllability by birth control for a nonlinear population dynamics model
- Optimal Harvesting for Periodic Age-Dependent Population Dynamics
- Contróle Exact De Léquation De La Chaleur
- Controllability with Positivity Constraints of the Lotka--McKendrick System
- Null-control and measurable sets
- A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators
- Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations
- $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem
- Age-Structured Population Dynamics in Demography and Epidemiology
- On the controllability of the Lotka-McKendrick model of population dynamics
This page was built for publication: Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion