2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2025
Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
Patrick Maheux, Vittoria Pierfelice
In this paper, we revisit the blow-up criteria for the simplest parabolic-elliptic (PKS) system in the 2D Euclidean space, including a consumption term. In the supercritical mass c…
math.AP2018
The Keller-segel System On The 2d-hyperbolic Space
Patrick Maheux, Vittoria Pierfelice
In this paper, we shall study the parabolic-elliptic Keller-Segel system on the Poincar{é} disk model of the 2D-hyperbolic space. We shall investigate how the negative curvature of…
math.CA2006★ 2 cited
New Proofs of Davies-Simon's Theorems about Ultracontractivity and Logarithmic Sobolev Inequalities related to Nash Type Inequalities
Patrick Maheux
We present new proofs of two theorems of E.B. Davies and B. Simon about ultracontractivity property for of semigroups of operators and logarithmic Sobolev inequalities with paramet…