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math.AP2020
Many-particle limit for a system of interaction equations driven by Newtonian potentials
Marco Di Francesco, Antonio Esposito, Markus Schmidtchen
We consider a discrete particle system of two species coupled through nonlocal interactions driven by the one-dimensional Newtonian potential, with repulsive self-interaction and a…
math.AP2020
The Aronson-Bénilan Estimate in Lebesgue Spaces
Giulia Bevilacqua, Benoît Perthame, Markus Schmidtchen
In a celebrated three-pages long paper in 1979, Aronson and Bénilan obtained a remarkable estimate on second order derivatives for the solution of the porous media equation. Since…