Logarithmic convexity and impulse approximate controllability for degenerate parabolic equations with Robin boundary conditions
Abstract
In this work, we investigate the approximate controllability of a class of one-dimensional degenerate parabolic equations with Robin boundary conditions. The degeneracy occurs at one endpoint of the spatial domain, and we apply an impulsive control in a small region at a fixed moment. Our main result establishes an observability inequality for the adjoint system, from which we deduce approximate controllability at the final time. The proof relies on a logarithmic convexity argument, developed through a Carleman commutator approach.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Advanced Mathematical Modeling in Engineering
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- Mathematical Control and Related Fields
- Volume
- 0
- Issue
- 0
- Publication date
- 1 January 2026
- Language
- EN