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math.AP2022
Exact controllability and stabilization for linear dispersive PDE's on the two-dimensional torus
Francisco J. Vielma Leal, Ademir Pastor
The moment method is used to prove the exact controllability of a wide class of bidimensional linear dispersive PDE's posed on the two-dimensional torus The contr…
math.AP2022★ 1 cited
Threshold solutions for cubic Schrödinger systems
Luccas Campos, Ademir Pastor
We consider the following Scrödinger system $$\begin{cases}\displaystyle i\partial_t u + Δu +(|u|^2+β|v|^2) u= 0, \\ \displaystyle i\partial_t v + Δv +(|v|^2+β|u|^2) v = 0,\end{cas…