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math.AP2026
Remarks on hypoelliptic equations
Valeria Banica, Nicolas Burq
Smooth hypoellipticity for scalar equations is quite well understood presently. On the other hand, much remains to be done for systems and/or at different levels of regularity and…
math.AP2024
Nonlinear interpolation and the flow map for quasilinear equations
Thomas Alazard, Nicolas Burq, Mihaela Ifrim +2
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiri…
math.AP2024
Measure propagation along a -vector field and wave controllability on a rough compact manifold
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study of the observability of the wave equation linking this property to high-frequenc…