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math.AP2012
Control and Stabilization of the Benjamin-Ono Equation on a Periodic Domain
Felipe Linares, Lionel Rosier
It was proved by Linares and Ortega that the linearized Benjamin-Ono equation posed on a periodic domain T with a distributed control supported on an arbitrary subdomain is exactly…
math.AP2012★ 1 cited
Unique continuation property and control for the Benjamin-Bona-Mahony equation on the torus
Lionel Rosier, Bing-Yu Zhang
We consider the Benjamin-Bona-Mahony (BBM) equation on the one dimensional torus T = R/(2πZ). We prove a Unique Continuation Property (UCP) for small data in H^1(T) with nonnegativ…