Observability Inequalities for Parabolic Equations over Measurable Sets and Some Applications Related to the Bang-Bang Property for Control Problems

DOI10.21042/AMNS.2017.2.00045zbMath1381.49006MaRDI QIDQ4600877

J. Apraiz

Publication date: 18 January 2018

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

zbMATH Keywords

controllabilitycontrol theoryparabolic equationsbang-bang propertiesobservability inequalities

Mathematics Subject Classification ID

Controllability (93B05) Heat equation (35K05) Observability (93B07) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20) Applications of variational problems to control theory (58E25)

Related Items (3)

Controllability Problems for the Heat Equation in a Half-Plane Controlled by the Dirichlet Boundary Condition with a Point-Wise Control ⋮ Fractional calculus in abstract space and its application in fractional Dirichlet type problems ⋮ Stably determining time-dependent convection–diffusion coefficients from a partial Dirichlet-to-Neumann map

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