70 citations · 169 across the 27 of their papers we have counts for
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math.AP2014
Sobolev regularity for the first order Hamilton-Jacobi equation
Pierre Cardaliaguet, Alessio Porretta, Daniela Tonon
We provide Sobolev estimates for solutions of first order Hamilton-Jacobi equations with Hamiltonians which are superlinear in the gradient variable. We also show that the solution…
math.OC2014
Second order mean field games with degenerate diffusion and local coupling
Pierre Cardaliaguet, J. Graber, Alessio Porretta +1
We analyze a (possibly degenerate) second order mean field games system of partial differential equations. The distinguishing features of the model considered are (1) that it is no…