Carleman estimate and null controllability of a fourth order parabolic equation in dimension N ≥ 2

Lissy, Explicit lower bounds for the cost of fast controls for some 1-D parabolic or dispersive equations, and a new lower bound concerning the uniform controllability of the

• but when µ ≤ 0, the eigenvalues do not satisfy a good uniform gap condition from above; we use here some new tools developped in [7] in order to treat cases where the eigenvalues

It is also possible to extend the previous arguments and methods to the boundary null controllability case and to the exact controllability to trajectories (with distributed or

Keywords: one-dimensional wave equation, null controllability, finite element methods, Carleman inequalities.. Mathematics Subject Classification (2010)- 35L10,

This section is devoted to the proof of the main result of this article, Theorem 1.2, that is the null-controllability of the Kolmogorov equation (1.1) in the whole phase space with

Gaillard, Two parameters wronskian representation of solutions of nonlinear Schr¨odinger equation, eight Peregrine breather and multi-rogue waves, J.. Gaillard, Hierarchy of

Null controllability of the complex Ginzburg–Landau equation Contrôlabilité à zéro de l’équation de Ginzburg–Landau complexe.. Lionel Rosier a,b, ∗ , Bing-Yu

Keywords: Controllability; Fifth-order Korteweg–de Vries equation; Initial-boundary value