141 citations · 781 across the 77 of their papers we have counts for
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A logarithmic Hardy inequality
Manuel Del Pino, Jean Dolbeault, Stathis Filippas +1
We prove a new inequality which improves on the classical Hardy inequality in the sense that a nonlinear integral quantity with super-quadratic growth, which is computed with respe…
Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis
Piotr Biler, Lucilla Corrias, Jean Dolbeault
In two space dimensions, the parabolic-parabolic Keller--Segel system shares many properties with the parabolic-elliptic Keller--Segel system. In particular, solutions globally exi…
Improved intermediate asymptotics for the heat equation
Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault +1
This letter is devoted to results on intermediate asymptotics for the heat equation. We study the convergence towards a stationary solution in self-similar variables. By assuming t…