Impulse null approximate controllability for heat equation with dynamic boundary conditions

Abstract

The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex domain. As an application, we prove the impulsive null approximate controllability for an impulsive heat equation with dynamic boundary conditions.

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• Heat equation with dynamical boundary conditions of reactive-diffusive type
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• The local backward heat problem

Cited by in corpus (1)

• Finite-time stabilization and impulse control of heat equation with dynamic boundary conditions