Bang-bang property of time optimal controls of semilinear parabolic equation

DOI10.3934/dcds.2016.36.279zbMath1317.35102OpenAlexW2552719317MaRDI QIDQ2515680

Karl Kunisch, Li Juan Wang

Publication date: 6 August 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.279

zbMATH Keywords

semilinear parabolic equationtime optimal controlbang-bang propertyobservability estimate from measurable sets

Mathematics Subject Classification ID

Observability (93B07) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20) Second-order parabolic equations (35K10)

Related Items (9)

Time Optimal Control Problem of the 3D Navier-Stokes-α Equations ⋮ Bang-bang property for time optimal control of the Korteweg-de Vries-Burgers equation ⋮ Time optimal control of the unsteady 3D Navier-Stokes-Voigt equations ⋮ Time optimal control problem of the 2D MHD equations with memory ⋮ On the switching behavior of sparse optimal controls for the one-dimensional heat equation ⋮ Optimal control problems for a semilinear evolution system with infinite delay ⋮ The time optimal control of two dimensional convective Brinkman-Forchheimer equations ⋮ Time-varying bang-bang property of time optimal controls for heat equation and its application ⋮ Bang-bang property of time optimal control for a kind of microwave heating problem

Cites Work

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• Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints
• The bang-bang property of time optimal controls for the Burgers equation
• Bang-bang property for time optimal control of semilinear heat equation
• Quantitative unique continuation for the semilinear heat equation in a convex domain
• The time optimal control of Navier-Stokes equations
• Analysis and control of nonlinear infinite dimensional systems
• The Bang-Bang principle of time optimal controls for the heat equation with internal controls
• An Abstract Bang-Bang Principle and Time-Optimal Boundary Control of the Heat Equation
• The Optimal Time Control of A Phase-Field System
• Time optimal control of the heat equation with pointwise control constraints
• $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem
• Time-Optimal Control of Solutions of Operational Differenital Equations

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