187 citations · 1.1k across the 80 of their papers we have counts for
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math.AP2011★ 30 cited
Optimal Regularizing Effect for Scalar Conservation Laws
François Golse, Benoît Perthame
We investigate the regularity of bounded weak solutions of scalar conservation laws with uniformly convex flux in space dimension one, satisfying an entropy condition with entropy…
math.AP2011★ 1 cited
Relaxation and self-sustained oscillations in the time elapsed neuron network model
Khashayar Pakdaman, Benoît Perthame, Delphine Salort
The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathemat…