From the 1 of 37 papers with an AI index.
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- Laboratoire des signaux et systèmesFR28 papers
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4 papers · 1 filter
Unweighted Hardy Inequalities on the Heisenberg Group and in Step-Two Carnot Groups
Lorenzo d'Arca, Luca Fanelli, Valentina Franceschi +1
We establish unweighted Hardy-type inequalities on step-two Carnot groups with one-dimensional vertical layer, with explicit lower bounds for the optimal Hardy constant. The approa…
Global propagation of analyticity and unique continuation for semilinear conservative PDEs
Camille Laurent, Cristóbal Loyola
We review some recent results in which we develop a new method for proving global unique continuation for some conservative PDEs. The main tool is to prove some global propagation…
Optimal stabilization rate for the wave equation with hyperbolic boundary condition
Hugo Parada, Nicolas Vanspranghe
We show that the energy of classical solutions to the wave equation with hyperbolic boundary condition (i.e., dynamic Wentzell boundary condition) and damping on the boundary decay…
Existence of two thresholds in a bistable equation with nonlocal competition
Matthieu Alfaro, Cédric Chane Ki Chune, Lionel Roques
We consider a nonlocal bistable reaction-diffusion equation, which serves as a model for a population structured by a phenotypic trait, subject to mutation, trait-dependent fitness…