Null and approximate controllability for weakly blowing up semilinear heat equations

Firstly, we give a geometric necessary condition (for interior null-controllability in the Euclidean setting) which implies that one can not go infinitely far away from the

To this purpose, we use a typical strategy; on one hand, whatever T > 0 is, sufficiently small initial data are proved to be controllable; on the other hand, the decay properties

Carleman estimates for degenerate parabolic operators with applications to null controllability.. Uniqueness and nonuniqueness of the cauchy prob- lem for hyperbolic operators

Under sharp growth assumptions, the existence of controls has been obtained in [Fernandez-Cara & Zuazua, Null and approximate controllability for weakly blowing up semi-linear

Olive, Sharp estimates of the one-dimensional bound- ary control cost for parabolic systems and application to the N-dimensional boundary null-controllability in cylindrical

In this work, we proved a necessary and sufficient condition of approximate and null controllability for system (6) with distributed controls under the geometrical assumption

Secondly, the uniform large time null-controllability result comes from three ingredients: the global nonnegative-controllability, a compari- son principle between the free solution

In fact, the reader may note that the null-controllability property strongly depends on the initial mode (through the computation of V 0 0 as last step). Second, according to