44 citations · 290 across the 45 of their papers we have counts for
3 papers · 1 filter
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…
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…
Mean field games systems of first order
Pierre Cardaliaguet, Philip Jameson Graber
We consider a system of mean field games with local coupling in the deterministic limit. Under general structure conditions on the Hamiltonian and coupling, we prove existence and…