4 papers
Sharp estimates of the one-dimensional boundary control cost for parabolic systems
Manuel González-Burgos, Lydia Ouaili
In this work we present new results on the cost of the boundary controllability of parabolic systems at time . In particular, we will study optimal estimates of the control…
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions
Manuel González-Burgos, Lydia Ouaili
The general goal of this work is to obtain upper and lower bounds for the -norm of biorthogonal families to complex exponential functions associated to sequences $\{ Λ_k \}_{k…
Boundary controllability of a one-dimensional phase-field system with one control force
M. González Burgos, G. Sousa-Neto
In this paper, we present some controllability results for linear and nonlinear phase-field systems of Caginalp type considered in a bounded interval of when the scalar…
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +1
This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus…