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math.AP2019★ 1 cited
Polar decomposition of semigroups generated by non-selfadjoint quadratic differential operators and regularizing effects
Paul Alphonse, Joackim Bernier
We characterize geometrically the regularizing effects of the semigroups generated by accretive non-selfadjoint quadratic differential operators. As a byproduct, we establish the s…
math.AP2019
Quadratic differential equations : partial Gelfand-Shilov smoothing effect and null-controllability
Paul Alphonse
We study the partial Gelfand-Shilov regularizing effect and the exponential decay for the solutions to evolution equations associated to a class of accretive non-selfadjoint quadra…