Luis Caffarelli

Fully Nonlinear Equations with Applications to Grad Equations in Plasma Physics

Luis Caffarelli, Ignacio Tomasetti, 2021, Communications on Pure and Applied Mathematics.

The Two-Phase Stefan Problem with Anomalous Diffusion

Luis Caffarelli, Ioannis Athanasopoulos, Emmanouil Milakis, 2021 .

On the asymptotic behavior of a Boltzmann-type price formation model

Marie-Therese Wolfram, Martin Burger, Peter A. Markowich, 2013, 1312.1304.

Regularity theory for fully nonlinear integro‐differential equations

Luis Silvestre, Luis Caffarelli, L. Caffarelli, 2007, 0709.4681.

Regularity Results for Nonlocal Equations by Approximation

Luis Silvestre, Luis Caffarelli, L. Caffarelli, 2009, 0902.4030.

Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

Luis Silvestre, Sandro Salsa, Luis Caffarelli, 2007, math/0702392.

On the Evans-Krylov theorem

Luis Silvestre, Luis Caffarelli, L. Caffarelli, 2009, 0905.1336.

On a Boltzmann-type price formation model

Marie-Therese Wolfram, Martin Burger, Peter Markowich, 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Regularity of solutions to the parabolic fractional obstacle problem

Alessio Figalli, Luis Caffarelli, A. Figalli, 2011, 1101.5170.

A Parabolic Problem with a Fractional Time Derivative

Alexis Vasseur, Mark Allen, Luis Caffarelli, 2015, 1501.07211.

Partial differential equation models in the socio-economic sciences

Martin Burger, Luis Caffarelli, M. Burger, 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Asymptotic behaviour of a porous medium equation with fractional diffusion

Luis Caffarelli, J. Vázquez, L. Caffarelli, 2010, 1004.1096.