Caffarelli, Luis
- Regularity results for nonlocal equations by approximation
2009/02/23 by Luis Caffarelli, Caffarelli, Luis, Luís Silvestre +1 · 5 citations
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics
- Asymptotic behaviour of a porous medium equation with fractional\n diffusion
2010/04/07 by Luis Caffarelli, Caffarelli, Luis, Vazquez, Juan Luis · 3 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Fractional Differential Equations Solutions #Advanced Mathematical Modeling in Engineering
- Non-Local Tug-of-War and the Infinity Fractional Laplacian
2010/11/09 by Bjorland, Clayton, Caffarelli, Luis, Figalli, Alessio · 3 citations
#35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Porous Medium Flow with both a Fractional Potential Pressure and Fractional Time Derivative
2015/09/21 by Allen, Mark, Caffarelli, Luis, Vasseur, Alexis · 3 citations
#35K55 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The Evans-Krylov theorem for non local fully non linear equations
2009/05/08 by Caffarelli, Luis, Silvestre, Luis · 2 citations
#35J60 #45K05 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A logistic equation with nonlocal interactions
2016/01/21 by Caffarelli, Luis, Dipierro, Serena, Valdinoci, Enrico · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Some remarks on singular solutions of nonlinear elliptic equations. III:\n viscosity solutions, including parabolic operators
2011/01/14 by Luis Caffarelli, Yanyan Li, Caffarelli, Luis +3 · 2 citations
Computer Science · Mathematics · #35J60 #35J69 #53C21 #58J05 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations
- Regularity properties of nonlocal minimal surfaces via limiting arguments
2011/05/05 by Luis Caffarelli, Caffarelli, Luis, Enrico Valdinoci +1 · 2 citations
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
- [Regularity of interfaces for a Pucci type segregation problem
2018/03/09 by Caffarelli, Luis, Patrizi, Stefania, Quitalo, Veronica +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- On the Evans-Krylov theorem
2009/05/08 by Caffarelli, Luis, Silvestre, Luis · 1 citation
#35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Some remarks on singular solutions of nonlinear elliptic equations. I
2009/04/18 by Caffarelli, Luis, Li, YanYan, Nirenberg, Louis · 1 citation
#35J60 #35J69 #53C21 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Regularity of solutions to the parabolic fractional obstacle problem
2011/01/26 by Caffarelli, Luis, Figalli, Alessio · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- A curvature flow in the plane with a nonlocal term
2017/10/13 by Caffarelli, Luis, Yu, Hui · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Optimal regularity and structure of the free boundary for minimizers in\n cohesive zone models
2017/12/21 by Luis Caffarelli, Caffarelli, Luis, Filippo Cagnetti +3 · 1 citation
Computer Science · Engineering · Mathematics · #35B65 #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations
- Regularity theory for nonlinear integral operators
2010/03/08 by Luis Caffarelli, Chi Hin Chan, Caffarelli, Luis +3 · 1 citation
Computer Science · Mathematics · #35B65 #45G05 #47G10. #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- On the Grad-Mercier equation and Semilinear Free Boundary Problems
2025/04/17 by Luis Caffarelli, Antonio Farah, Caffarelli, Luis +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations