Lebeau–Robbiano Inequality for Heat Equation with Dynamic Boundary Conditions and Optimal Null Controllability

• Published in: Differential equations and dynamical systems Vol. 33; no. 2; pp. 401 - 417
• Main Authors: Maniar, Lahcen, Oukdach, Omar, Zouhair, Walid
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.04.2025; Springer Nature B.V
• Subjects: Boundary conditions; Computer Science; Controllability; Convexity; Differential equations; Engineering; Mathematics; Mathematics and Statistics; Observability (systems); Optimal control; Original Research; Thermodynamics; Logarithmic convexity; Bang–Bang properties; Secondary 93C27; Time and norm optimal controls; Primary 35R12; Dynamic boundary conditions; 49N25

The paper deals with time and norm optimal control problems for the heat equation with dynamic boundary conditions in the context of the null controllability. More precisely, we answer an open question left in our previous paper (Boutaayamou et al., in Math Methods Appl Sci 45:1359–1376, 2021). To d...