We give null controllability results for some degenerate parabolic equations in non divergence form on a bounded interval. In particular, the coefficient of the second order term degenerates at the extreme points of the domain. For this reason, we obtain an observability inequality for the adjoint problem. Then we prove Carleman estimates for such a problem. Finally, in a standard way, we deduce null controllability also for semilinear equations.
Cannarsa, P., Fragnelli, G., Rocchetti, D. (2008). Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form. JOURNAL OF EVOLUTION EQUATIONS, 8, 583-616.
Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form
CANNARSA, PIERMARCO;
2008-01-01
Abstract
We give null controllability results for some degenerate parabolic equations in non divergence form on a bounded interval. In particular, the coefficient of the second order term degenerates at the extreme points of the domain. For this reason, we obtain an observability inequality for the adjoint problem. Then we prove Carleman estimates for such a problem. Finally, in a standard way, we deduce null controllability also for semilinear equations.File | Dimensione | Formato | |
---|---|---|---|
PMC-Frg-Rcc_JEE.pdf
accesso aperto
Descrizione: articolo
Dimensione
313.19 kB
Formato
Adobe PDF
|
313.19 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.