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Shape Sensitivity Analysis of Boundary Optimal Control Problems for Parabolic Systems

https://doi.org/10.1137/0326045
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-87722-3openalex-snapshot
Optimal Shape Design for Elliptic Systems
inferredcites →https://doi.org/10.1007/978-94-009-8606-0_12openalex-snapshot
The Material Derivative (or Speed) Method for Shape Optimization
inferredcites →https://doi.org/10.1007/978-94-009-8606-0_30openalex-snapshot
Sensitivity Analysis for a Class of Variational Inequalities
inferredcites →https://doi.org/10.1007/bf00933973openalex-snapshot
Shape design sensitivity of a membrane
inferredcites →https://doi.org/10.1007/bf01442201openalex-snapshot
Differential stability of solutions to constrained optimization problems
inferredcites →https://doi.org/10.1007/bf01443617openalex-snapshot
Sensitivity analysis of contact problems with prescribed friction
inferredcites →https://doi.org/10.1007/bfb0005663openalex-snapshot
Differential stability of control constrained optimal control problems for distributed parameter systems
inferredcites →https://doi.org/10.1007/bfb0008909openalex-snapshot
Shape controlability for free boundaries
inferredcites →https://doi.org/10.1007/bfb0043854openalex-snapshot
Sensitivity analysis of an optimal control problem arising from air quality control in urban area
inferredcites →https://doi.org/10.1007/bfb0060528openalex-snapshot
Perturbations Singulières dans les Problèmes aux Limites et en Contrôle Optimal
inferredcites →https://doi.org/10.1016/0020-7683(84)90026-xopenalex-snapshot
Variational approach by means of adjoint systems to structural optimization and sensitivity analysis—II
inferredcites →https://doi.org/10.1016/0022-1236(76)90017-3openalex-snapshot
Contrôle dans les inéquations variationelles elliptiques
inferredcites →https://doi.org/10.1016/0022-247x(86)90213-1openalex-snapshot
Sensitivity of solutions to convex, control constrained optimal control problems for distributed parameter systems
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6041-2openalex-snapshot
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
inferredcites →https://doi.org/10.1016/s0076-5392(09)x6018-2openalex-snapshot
Design Sensitivity Analysis of Structural Systems
inferredcites →https://doi.org/10.1057/jors.1977.181openalex-snapshot
Mathematical Programming Studies
inferredcites →https://doi.org/10.1080/01630563.1980.10120631openalex-snapshot
Differentiation with Respect to the Domain in Boundary Value Problems
inferredcites →https://doi.org/10.1080/03601218508907497openalex-snapshot
Sensitivity Analysis of Problems of Elasticity with Unilateral Constraints*
inferredcites →https://doi.org/10.1090/s0002-9947-1973-0326252-2openalex-snapshot
Smoothness of Certain Metric Projections on Hilbert Space
inferredcites →https://doi.org/10.1090/s0002-9947-1982-0645326-5openalex-snapshot
Differentiability of the Metric Projection in Hilbert Space
inferredcites →https://doi.org/10.1137/0321003openalex-snapshot
Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
inferredcites →https://doi.org/10.1137/0325085openalex-snapshot
Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems
inferredcites →https://doi.org/10.1137/0518103openalex-snapshot
Shape Sensitivity Analysis of Unilateral Problems
inferredcites →https://doi.org/10.2969/jmsj/02940615openalex-snapshot
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
inferredcites →https://doi.org/10.5802/aif.676openalex-snapshot
Sur une famille de variétés à bord lipschitziennes. Application à un problème d'identification de domaines

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Generic Simplicity for the Solutions of a Nonlinear Plate Equation
inferred← citeshttps://doi.org/10.1007/978-3-319-05083-6_14openalex-snapshot
On Shape Optimization with Parabolic State Equation
inferred← citeshttps://doi.org/10.1007/978-3-642-58106-9_4openalex-snapshot
Shape Sensitivity Analysis of Variational Inequalities
inferred← citeshttps://doi.org/10.1007/978-3-662-01632-9_6openalex-snapshot
Sensitivity Reduction and Robustness
inferred← citeshttps://doi.org/10.1007/978-94-011-2710-3_8openalex-snapshot
Shape sensitivity analysis of variational inequalities
inferred← citeshttps://doi.org/10.1007/bf01184156openalex-snapshot
Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
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Sensitivity analysis of optimization problems in Hilbert space with application to optimal control
inferred← citeshttps://doi.org/10.1007/bfb0002597openalex-snapshot
Shape sensitivity analysis of state constrained optimal control problems for distributed parameter systems
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Differential stability of perturbed optimization with applications to parameter estimation
inferred← citeshttps://doi.org/10.1007/bfb0006697openalex-snapshot
Shape sensitivity analysis for stochastic evolution equations
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Sensitivity analysis of optimal control problems for parabolic systems
inferred← citeshttps://doi.org/10.1007/bfb0044490openalex-snapshot
Sensitivity analysis of shallow shell with obstacle
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Sensitivity analysis of hyperbolic optimal control problems
inferred← citeshttps://doi.org/10.1016/j.cam.2021.113780openalex-snapshot
On the cavity detection in a heat conductive medium from time-average boundary temperature measurement
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Generic simplicity of the eigenvalues for a supported plate equation
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Polyhedricity of convex sets in sobolev space
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Sensitivity analysis of unilateral problems in and applications
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Stability of Solutions to Shape Estimation Problems*
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Sensitivity analysis of control constrained optimal control problems for wave equation
inferred← citeshttps://doi.org/10.1109/cdc.1991.261764openalex-snapshot
Conical differentiability of metric projection in Sobolev space H/sub 0//sup 2/( Omega )
inferred← citeshttps://doi.org/10.1109/mmar.2010.5587250openalex-snapshot
Sensitivity analysis of infinite order hyperbolic optimal control problems
inferred← citeshttps://doi.org/10.1109/mmar.2011.6031312openalex-snapshot
Sensitivity analysis of parabolic-hyperbolic optimal control problems
inferred← citeshttps://doi.org/10.1109/mmar.2012.6347928openalex-snapshot
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems
inferred← citeshttps://doi.org/10.1109/mmar.2013.6669963openalex-snapshot
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems with boundary conditions involving time delays
inferred← citeshttps://doi.org/10.1137/0325085openalex-snapshot
Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems
inferred← citeshttps://doi.org/10.1137/0329060openalex-snapshot
Sensitivity Analysis of Optimal Control Problems for Wave Equations
inferred← citeshttps://doi.org/10.1137/110855703openalex-snapshot
On the Numerical Solution of a Shape Optimization Problem for the Heat Equation
inferred← citeshttps://doi.org/10.1137/19m1268628openalex-snapshot
On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation
inferred← citeshttps://doi.org/10.12775/tmna.2002.038openalex-snapshot
A generic property for the eigenfunctions of the Laplacian
inferred← citeshttps://doi.org/10.1515/9783110883237.2595openalex-snapshot
Optimal shape design of plates and shells with obstacles
inferred← citeshttps://doi.org/10.2140/pjm.1995.170.567openalex-snapshot
Directional differentiability of the metric projection in Hilbert space
inferred← citeshttps://doi.org/10.3182/20090819-3-pl-3002.00003openalex-snapshot
Sensitivity Analysis of Time Delay Hyperbolic Optimal Control Problems
inferred← citeshttps://doi.org/10.3182/20090819-3-pl-3002.00009openalex-snapshot
Sensivity Analysis of Infinite Order Parabolic Optimal Control Problems
inferred← citeshttps://doi.org/10.3934/math.20231095openalex-snapshot
New numerical method for solving optimal control problem for the stationary Navier-Stokes equations
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