133 citations · 479 across the 74 of their papers we have counts for
7 papers · 1 filter
Exterior sphere condition and time optimal control for differential inclusions
Piermarco Cannarsa, Khai T. Nguyen
The minimum time function of smooth control systems is known to be locally semiconcave provided Petrov's controllability condition is satisfied. Moreover, such a regular…
Singular gradient flow of the distance function and homotopy equivalence
Paolo Albano, Piermarco Cannarsa, Khai Tien Nguyen +1
It is a generally shared opinion that significant information about the topology of a bounded domain of a riemannian manifold is encoded into the properties of the distance…
Unique continuation and approximate controllability for a degenerate parabolic equation
Piermarco Cannarsa, Jacques Tort, Masahiro Yamamoto
This paper studies unique continuation for weakly degenerate parabolic equations in one space dimension. A new Carleman estimate of local type is obtained to deduce that all soluti…
Approximate controllability for linear degenerate parabolic problems with bilinear control
Piermarco Cannarsa, Giuseppe Floridia
In this work we study the global approximate multiplicative controllability for the linear degenerate parabolic Cauchy-Neumann problem $$ \{{array}{l} \displaystyle{v_t-(a(x) v_x)_…
Indirect stabilization of weakly coupled systems with hybrid boundary conditions
F. Alabau-Boussouira, P. Cannarsa, R. Guglielmi
We investigate stability properties of indirectly damped systems of evolution equations in Hilbert spaces, under new compatibility assumptions. We prove polynomial decay for the en…
Null controllability of Grushin-type operators in dimension two
K. Beauchard, P. Cannarsa, R. Guglielmi
We study the null controllability of the parabolic equation associated with the Grushin-type operator in the rectangle $Ω=(-1,1)\tim…