Some optimal control problems of heat equations with weighted controls
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Publication:1678052
DOI10.1186/s13661-017-0880-zzbMath1386.35134OpenAlexW2761001976WikidataQ59523921 ScholiaQ59523921MaRDI QIDQ1678052
Shufang Liu, Guoqi Wang, Dandan Liu
Publication date: 14 November 2017
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0880-z
Heat equation (35K05) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
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- Time and norm optimal controls: a survey of recent results and open problems
- Observability inequalities and measurable sets
- On optimal location of diffusion and related optimal control for null controllable heat equation
- Exact controllability of linear stochastic differential equations and related problems
- Shape optimization of stationary Navier-Stokes equation over classes of convex domains
- Optimal actuator location for time and norm optimal control of null controllable heat equation
- Optimal actuator location of minimum norm controls for heat equation with general controlled domain
- Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications
- Some Compact Classes of Open Sets under Hausdorff Distance and Application to Shape Optimization
- On Convergence of Boundary Hausdorff Measure and Application to a Boundary Shape Optimization Problem
- The Norm Optimal Control Problem for Stochastic Linear Control Systems
- Attainable Subspaces and the Bang-Bang Property of Time Optimal Controls for Heat Equations
- $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem
- General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions
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