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math.AP2024
Unique continuation for Schr{ö}dinger operators with partially Gevrey coefficients
Spyridon Filippas, Camille Laurent, Matthieu Léautaud
We prove a local unique continuation result for Schr\''odinger operators with time independent Lipschitz metrics and lower order terms which are Gevrey 2 in time and bounded in spa…
math.AP2023
Long time energy averages and a lower resolvent estimate for damped waves
Matthieu Léautaud
We consider the damped wave equation on a compact manifold. We propose different ways of measuring decay of the energy (time averages of lower energy levels, decay for frequency lo…
math.AP2023
Length orthospectrum and the correlation function on flat tori
Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière
This note presents some of the results obtained in arXiv:2207.05410 and it has beenthe object of a talk of the second author during the Journées "Équations auxDérivées Partielles"…