Optimal Control of Semilinear Parabolic Equations by BV-Functions

DOI10.1137/16M1056511zbMath1365.35077MaRDI QIDQ5266530

Florian Mannel, Karl Kunisch, Eduardo Casas

Publication date: 7 June 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

optimal controlsemilinear parabolic equationssparsityfirst and second order optimality conditionsbounded variation functionsdiscontinuous Galerkin approximations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Semilinear parabolic equations (35K58)

Related Items (13)

Optimal control of the linear wave equation by time-depending BV-controls: a semi-smooth Newton approach ⋮ A path-following inexact Newton method for PDE-constrained optimal control in BV ⋮ Sensitivity analysis of the value function for infinite dimensional optimal control problems and its relation to Riccati equations ⋮ Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay ⋮ Analysis and approximations of an optimal control problem for the Allen-Cahn equation ⋮ Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation ⋮ Finite element error estimates for one-dimensional elliptic optimal control by BV-functions ⋮ Analysis and optimal control of some quasilinear parabolic equations ⋮ Immersed finite element method and its analysis for parabolic optimal control problems with interfaces ⋮ Optimal control of nonclassical diffusion equations with memory ⋮ Analysis of optimal control problems of semilinear elliptic equations by BV-functions ⋮ A hybrid semismooth quasi-Newton method for nonsmooth optimal control with PDEs ⋮ Second-order necessary conditions in optimal control of evolution systems

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