Analysis and optimal control of some quasilinear parabolic equations
type: Item
instance of: scholarly article
title: Analysis and optimal control of some quasilinear parabolic equations
zbMATH Open document ID: 1416.35145
author: Eduardo Casas
author: Konstantinos Chrysafinos
published in: Mathematical Control and Related Fields
publication date: 2019-07-03T00:00:00Z
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 7076358
zbMATH Keywords: optimal control
zbMATH Keywords: quasilinear parabolic equations
zbMATH Keywords: first and second order optimality conditions
MaRDI profile type: Publication
full work available at URL: mcrf.2018025
OpenAlex ID: W2892024477
cites work: Q4327845
cites work: Dirichlet boundary control of semilinear parabolic equations. I: Problems with no state constraints
cites work: Dirichlet boundary control of semilinear parabolic equations. II: Problems with pointwise state constraints
cites work: Second order analysis for strong solutions in the optimal control of parabolic equations
cites work: Second order optimality conditions for optimal control of quasilinear parabolic equations
cites work: Optimal control of a semilinear parabolic equation with singular arcs
cites work: Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems
cites work: The Mathematical Theory of Finite Element Methods
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Boundary control problems for quasi-linear elliptic equations: A Pontryagin's principle
cites work: Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
cites work: Q5500856
cites work: Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations
cites work: Distributed control of systems governed by a general class of quasilinear elliptic equations
cites work: Dealing with Integral State Constraints in Boundary Control Problems of Quasilinear Elliptic Equations
cites work: Optimal control of quasilinear parabolic equations
cites work: Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations
cites work: Approximation of optimal control problems in the coefficient for the \(p\)-Laplace equation. I: Convergence result
cites work: Optimal Control of Semilinear Parabolic Equations by BV-Functions
cites work: Pontryagin's principle for local solutions of control problems with mixed control-state constraints
cites work: First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
cites work: Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations
cites work: Second order analysis for optimal control problems: improving results expected from abstract theory
cites work: Second order optimality conditions and their role in PDE control
cites work: Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems
cites work: Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations
cites work: Neumann and mixed problems on curvilinear polyhedra
cites work: Q3774245
cites work: Optimal Sobolev Regularity for Linear Second-Order Divergence Elliptic Operators Occurring in Real-World Problems
cites work: Q4355647
cites work: Integral state-constrained optimal control problems for some quasilinear parabolic equations
cites work: Q3139888
cites work: Q3470840
cites work: Maximal parabolic regularity for divergence operators including mixed boundary conditions
cites work: Optimization with PDE Constraints
cites work: The inhomogeneous Dirichlet problem in Lipschitz domains
cites work: Measure Valued Directional Sparsity for Parabolic Optimal Control Problems
cites work: Q5570406
cites work: Maximum Principle of Optimal Control for Degenerate Quasi-Linear Elliptic Equations
cites work: Q5518064
cites work: Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time
cites work: Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
cites work: Q4169289
cites work: Q3558349
Wikidata QID: Q129108466
DOI: 10.3934/MCRF.2018025
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description: scientific article; zbMATH DE number 7076358