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math.AP2022
Biorthogonal functions for complex exponentials and an application to the controllability of the Kawahara equation via a moment approach
Ademir F. Pazoto, Miguel Soto
The paper deals with the controllability properties of the Kawahara equation posed on a periodic domain. We show that the equation is exactly controllable by means of a control dep…
math.AP2022
Unique continuation and time decay for a higher-order water wave model
Ademir F. Pazoto, Miguel Soto
This work is devoted to prove the exponential decay for the energy of solutions of a higher order Korteweg -de Vries (KdV)--Benjamin-Bona-Mahony (BBM) equation on a periodic domain…