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math.AP2022
Null-controllability for weakly dissipative heat-like equations
Armand Koenig, Paul Alphonse
We study the null-controllability properties of heat-like equations posed on the whole Euclidean space . These evolution equations are associated with Fourier multipli…
math.AP2022★ 2 cited
Quantitative spectral inequalities for the anisotropic Shubin operators and applications to null-controllability
Paul Alphonse, Albrecht Seelmann
We prove quantitative spectral inequalities for the (anisotropic) Shubin operators on the whole Euclidean space, thus relating for functions from spectral subspaces associated to f…
math.AP2022
Approximate null-controllability with uniform cost for the hypoelliptic Ornstein-Uhlenbeck equations
Paul Alphonse, Jérémy Martin
We prove that the approximate null-controllability with uniform cost of the hypoelliptic Ornstein-Uhlenbeck equations posed on is characterized by an integral thickne…