Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-variational Inequalities

DOI10.1137/21M1419635MaRDI QIDQ5883139

Constantin Christof, Gerd Wachsmuth

Publication date: 29 March 2023

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

Full work available at URL: https://arxiv.org/abs/2105.05895

zbMATH Keywords

optimal controlsensitivity analysisfixed-point equationimpulse controlLipschitz stabilityquasi-variational inequalityHadamard directional differentiabilityorder approach

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items

Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control

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