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math.AP2022
A mean field model for the interactions between firms on the markets of their inputs
Yves Achdou, Guillaume Carlier, Quentin Petit +1
We consider an economy made of competing firms which are heterogeneous in their capital and use several inputs for producing goods. Their consumption policy is fixed rationally by…
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…