fokker-planck equation 1parametrix construction 1pseudospectral estimates 1semigroup theory 1spectral analysis 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Short-time parametrix for the Fokker--Planck semigroup and applications
Paul Alphonse, Jean-Marc Bouclet, Matthieu Léautaud
The paper constructs a short-time parametrix for the Fokker–Planck semigroup in Euclidean space and uses it to derive smoothing, localization, spectral, and eigenvalue asymptotic r…
math.AP2026
A quantitative averaging lemma for spatially dependent vector fields
Paul Alphonse, Billel Guelmame, Julien Vovelle
We prove a quantitative averaging lemma for spatially dependent vector fields. Our proof is based on an iteration of the regularizing operator and some elementary considerations ab…
math.AP2025
A smoothing effect for the fractional Schrödinger equations on the circle and observability
Paul Alphonse, Nikolay Tzvetkov
We show that, after a renormalisation, one can define the square of the modulus of the solution of the fractional Schrödinger equations on the circle with data in Sobolev spaces o…