  In this article, we study the existence of insensitizing controls for a
nonlinear reaction-diffusion equation with dynamic boundary conditions. Here,
we have a partially unknown data of the system, and the problem consists in
finding controls such that a specific functional is insensitive for small
perturbations of the initial data. More precisely, the functional considered
here depends on the norm of the state in a subset of the bulk together with the
norm of the tangential gradient of the state on the boundary. This problem is
equivalent to a (relaxed) null controllability problem for an optimality system
of cascade type, with a zeroth-order coupling term in the bulk and a
second-order coupling term on the boundary. To achieve this result, we
linearize the system around the origin and analyze it by the duality approach
and we prove a new Carleman estimate for the corresponding adjoint system.
Then, a local null controllability result for the nonlinear system is proven by
using an inverse function theorem.
