159 citations · 747 across the 28 of their papers we have counts for
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math.AP2023
On the self-similar stability of the parabolic-parabolic Keller-Segel equation
Frank Alvarez Borges, Kleber Carrapatoso, Stéphane Mischler
We consider the parabolic-parabolic Keller-Segel equation in the plane and prove the nonlinear exponential stability of the self-similar profile in a quasi parabolic-elliptic regim…
math.AP2023★ 2 cited
On the Krein-Rutman theorem and beyond
Claudia Fonte Sanchez, Pierre Gabriel, Stéphane Mischler
In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a Banach lattice framework and we provide some very general, efficient and handy results wi…