Luis A. Caffarelli教授的出版作品【3】

[296] Allen, Mark; Caffarelli, Luis; Vasseur, Alexis. Porous medium flow with both a fractional potential pressure and fractional time derivative. Chin. Ann. Math. Ser. B 38 (2017), no. 1, 45--82. 

[295] Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico. A logistic equation with nonlocal interactions. Kinet. Relat. Models 10 (2017), no. 1, 141--170.

[294] Caffarelli, Luis; Vázquez, Juan Luis. Regularity of solutions of the fractional porous medium flow with exponent ½. St. Petersburg Math. J. 27 (2016), 437--460.

[293] Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis. The Dirichlet problem for stable-like operators and related probabilistic representations. Comm. Partial Differential Equations. 41 (2016), no. 9, 1472--1511.

[292] Caffarelli, L.; De Silva, D.; Savin, O. Obstacle-type problems for minimal surfaces. Comm. Partial Differential Equations 41 (2016), no. 8, 1303--1323.

[291] Caffarelli, Luis A.; Kriventsov, Dennis. A free boundary problem related to thermal insulation. Comm. Partial Differential Equations 41 (2016), no. 7, 1149--1182.

[290] Caffarelli, Luis; Silvestre, Luis. A nonlocal Monge-Ampère equation. Comm. Anal. Geom. 24 (2016), no. 2, 307--335.

[289] Caffarelli, Luis; Stinga, Pablo Raúl Fractional elliptic equations, Caccioppoli estimates and regularity. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2015), no. 3, 767--807.

[288] Allen, Mark; Caffarelli, Luis; Vasseur, Alexis. A Parabolic Problem with a Fractional-Time Derivative. Arch. Ration. Mech. Anal. 221 (2016), no. 2, 603--630.

[287] Bonforte, Matteo; Caffarelli, Luis; Grillo, Gabriele. Foreword. Nonlinear Anal. 137/138 (2016), 1--2.

[286] Caffarelli, Luis; Charro, Fernando. On a fractional Monge-Ampère operator. Annals of PDE 1 (2015), no. 1, 1--47.

[285] Caffarelli, Luis A.; Wang, Peiyong. A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition. Calc. Var. Partial Differential Equations 54 (2015), no. 4, 3517--3529.

[284] Caffarelli, Luis A.; Shahgholian, Henrik. Regularity of free boundaries a heuristic retro. Philos. Trans. A 373 (2015), no. 2050, 20150209, 18 pp.

[283] Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico. Minimization of a fractional perimeter-Dirichlet integral functional. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 32 (2015), no. 4, 901--924.

[282] Caffarelli, Luis; Silvestre, Luis. Hölder regularity for generalized master equations with rough kernels. Advances in analysis: the legacy of Elias M. Stein (C. Fefferman, A.D. Ionescu, D.H. Phong and S. Wainger, Eds.) Princeton University Press, Princeton, NJ (2014) 63--83.

[281] Caffarelli, Luis. Calixto Calderón as I knew him. Special functions, partial differential equations, and harmonic analysis, 13--14, Springer Proc. Math. Stat., 108 Springer, Cham, 2014.

[280] Caffarelli, Luis A.; Leitão, Raimundo; Urbano, José Miguel Regularity for anisotropic fully nonlinear integro-differential equations. Math. Ann. 360 (2014), no. 3-4, 681--714.

[279] Burger, Martin; Caffarelli, Luis; Markowich, Peter A. Partial differential equation models in the socio-economic sciences. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 372 (2014), no. 2028, 91--06.

[278] Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese On the asymptotic behavior of a Boltzmann-type price formation model. Commun. Math. Sci. 12 (2014), no. 7, 1353--1361.

[277] Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities. Arch. Ration. Mech. Anal. 213 (2014), no. 1, 245--268.

[276] Caffarelli, Luis A.; Crandall, Michael G. Relations between geometric convexity, doubling measures and property Γ. Proc. Amer. Math. Soc. 142 (2014), no. 7, 2395--2406.

[275] Caffarelli, Luis A.; Monneau, Regis Counter-example in three dimension and homogenization of geometric motions in two dimension. Arch. Ration. Mech. Anal. 211 (2014) no. 2, 503--574.

[274] Caffarelli, Luis; González, María del Mar; Nguyen, Truyen A perturbation argument for a Monge-Ampère type equation arising in optimal transportation. Arch. Ration. Mech. Anal. 212 (2014), 359--414.

[273] Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese On a Boltzmann-type price formation model. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 469 (2013), no. 2157.

[272] Caffarelli, Luis The homogenization of surfaces and boundaries. Bull. Braz. Math. Soc. (N.S.) 44 (2013) no. 4, 755--775.

[271] Caffarelli, Luis; Valdinoci, Enrico Regularity properties of nonlocal minimal surfaces via limiting arguments. Adv. Math. 248 (2013), 843--871.

[270] Caffarelli, Luis; Figalli, Alessio Regularity of solutions to the parabolic fractional obstacle problem. J. Reine Angew. Math. 680 (2013), 191--233.

[269] Caffarelli, Luis; Soria, Fernando; Vázquez, Juan Luis Regularity of solutions of the fractional porous medium flow. J. Eur. Math. Soc. (JEMS) 15 (2013), no. 5, 1701--1746.

[268] Caffarelli, Luis; Valdinoci, Enrico A priori bounds for solutions of a nonlocal evolution PDE. Analysis and numerics of partial differential equation 141--163, Springer INdAM Ser. 4, Springer, Milan, 2013.

[267] Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis Some remarks on singular solutions of nonlinear elliptic equations III: viscosity solutions including parabolic operators. Comm. Pure Appl. Math. 66 (2013), no. 1, 109--143.

[266] Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis Some remarks on singular solutions of nonlinear elliptic equations II: Symmetry and monotonicity via moving planes. Advances in geometric analysis, 97--105, Adv. Lect. Math. (ALM), 21 Int. Press, Somerville, MA, 2012.

[265] Caffarelli, Luis A.; Golse, Francois; Guo, Yan; Kenig, Carlos E.; Vasseur, Alexis Nonlinear partial differential equations. Selected lecture notes from the School "Topics in PDE's and Applications 2008. A CRM & FISYMAT Joint Activity" held at the Universidad de Granada, Granada, April 7--11 and at the Centre de Recerca Matemàtica in Bellaterra, May 5--9, 2008. Edited by Xavier Cabré and Juan Soler. Advanced Courses in Mathematics. CRM Barcelona. Birkhäuser/Springer Basel AG, Basel, 2012. viii+149 pp.

[264] Caffarelli, Luis A.; Vasseur, Alexis The De Giorgi method for nonlocal fluid dynamics. Nonlinear partial differential equations, 1--38, Adv. Courses Math. CRM Barcelona, Birkhäuser/Springer Basel AG, Basel, 2012.

[263] Caffarelli, Luis Non local diffusions, drifts and games. Nonlinear Partial Differential Equations: The Abel Symposium 2010. Series: Abel Symposia (H. Holden, K.H. Karlsen, Eds.) 7 Springer-Verlag, Berlin Heidelberg (2012) 37--52.

[262] Bjorland, C.; Caffarelli, L.; Figalli, A. Non-local gradient dependent operators. Adv. Math. 230 (2012), no. 4-6, 1859--1894.

[261] Caffarelli, L.; Mellet, A.; Sire, Y. Traveling waves for a boundary reaction-diffusion equation. Adv. Math. 230 (2012), no. 2, 433--457.

[260] Caffarelli, Luis A.; Crandall, Michael G. The problem of two sticks. Expo. Math. 30 (2012), no. 1, 69--95.

[259] Bjorland, C.; Caffarelli, L.; Figalli, A. Nonlocal tug-of-war and the infinity fractional Laplacian. Comm. Pure Appl. Math. 65 (2012), no. 3, 337--380.

[258] Caffarelli, Luis; Vázquez, Juan Luis Nonlinear porous medium flow with fractional potential pressure. Arch. Ration. Mech. Anal. 202 (2011), no. 2, 537--565.

[257] Ambrosio, Luigi; Caffarelli, Luis; Maugeri, Antonino Preface: A beautiful walk in the way of the understanding. Discrete Contin. Dyn. Syst. 31 (2011), no. 4, i--vi.

[256] Caffarelli, Luis; Silvestre, Luis The Evans-Krylov theorem for nonlocal fully nonlinear equations. Ann. of Math. (2) 174 (2011), no. 2, 1163--1187.

[255] Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese On a price formation free boundary model by Lasry and Lions: the Neumann problem. C. R. Math. Acad. Sci. Paris 349 (2011), no. 15-16, 841--844.

[254] Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F. On a price formation free boundary model by Lasry and Lions. C. R. Math. Acad. Sci. Paris 349 (2011), no. 11-12, 621--624.

[253] Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis Regularity theory for parabolic nonlinear integral operators. J. Amer. Math. Soc. 24 (2011), no. 3, 849--869.

[252] Caffarelli, Luis; Valdinoci, Enrico Uniform estimates and limiting arguments for nonlocal minimal surfaces. Calc. Var. Partial Differential Equations 41 (2011), no. 1-2, 203--240.

[251] Caffarelli, Luis; Silvestre, Luis Regularity results for nonlocal equations by approximation. Arch. Ration. Mech. Anal. 200 (2011), no. 1, 59--88.

[250] Caffarelli, Luis A.; Vázquez, Juan Luis Asymptotic behaviour of a porous medium equation with fractional diffusion. Discrete Contin. Dyn. Syst. 29 (2011), no. 4, 1393--1404.

[249] Caffarelli, Luis; Li, YanYan Preface [Special issue dedicated to Louis Nirenberg on the occasion of his 85th birthday. Part III]. Discrete Contin. Dyn. Syst. 30 (2011), no. 2, i--ii.

[248] Caffarelli, Luis A.; Crandall, Michael G. Distance functions and almost global solutions of eikonal equations. Comm. Partial Differential Equations 35 (2010), no. 3, 391--414.

[247] Caffarelli, Luis; Silvestre, Luis Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations. Nonlinear partial differential equations and related topics, 67--85, Amer. Math. Soc. Transl. Ser. 2, 229, Amer. Math. Soc., Providence, RI, 2010.

[246] Caffarelli, Luis A.; Vasseur, Alexis F. The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. Discrete Contin. Dyn. Syst. Ser. S 3 (2010), no. 3, 409--427.

[245] Caffarelli, Luis A.; Vasseur, Alexis Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Ann. of Math. (2) 171 (2010), no. 3, 1903--1930.

[244] Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick Variational problems for free boundaries for the fractional Laplacian. J. Eur. Math. Soc. (JEMS) 12 (2010), no. 5, 1151--1179.

[243] Caffarelli, L.; Roquejoffre, J.-M.; Savin, O. Nonlocal minimal surfaces. Comm. Pure Appl. Math. 63 (2010), no. 9, 1111--1144.

[242] Caffarelli, Luis A.; Lin, Fang Hua Analysis on the junctions of domain walls. Discrete Contin. Dyn. Syst. 28 (2010) no. 3, 915--929.

[241] Caffarelli, Luis A.; Li, YanYan Preface [Dedicated to Louis Nirenberg on the occasion of his 85th birthday. Part I]. Discrete Contin. Dyn. Syst. 28 (2010) no. 2, i--ii.

[240] Caffarelli, Luis A.; Li, YanYan Preface [Dedicated to Louis Nirenberg on the occasion of his 85th birthday. Part II]. Discrete Contin. Dyn. Syst. 28 (2010) no. 3, i--ii.

[239] Caffarelli, Luis A.; McCann, Robert J. Free boundaries in optimal transport and Monge-Ampère obstacle problems. Ann. of Math. (2) 171 (2010), no. 2, 673--730.

[238] Caffarelli, Luis A.; Souganidis, Panagiotis E. Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media. Invent. Math. 180 (2010), no. 2, 301--360.

[237] Athanasopoulos, I.; Caffarelli, L. A. Continuity of the temperature in boundary heat control problems. Adv. Math. 224 (2010), no. 1, 293--315.

[236] Caffarelli, Luis A.; Karakhanyan, Aram L. Lectures on gas flow in porous media. Recent developments in real and harmonic analysis, 133--157, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Inc., Boston, MA, 2010.

[235] Caffarelli, Luis A.; Souganidis, Panagiotis E. Convergence of nonlocal threshold dynamics approximations to front propagation. Arch. Ration. Mech. Anal. 195 (2010), no. 1, 1--23.

[234] Caffarelli, Luis; Silvestre, Luis On the Evans-Krylov theorem. Proc. Amer. Math. Soc. 138 (2010), no. 1, 263--265.

[233] Caffarelli, Luis A. Some nonlinear problems involving non-local diffusions. ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, 43--56, Eur. Math. Soc., Zurich, 2009.

[232] Caffarelli, Luis Surfaces minimizing nonlocal energies. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 20 (2009), no. 3, 281--299.

[231] Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis Some remarks on singular solutions of nonlinear elliptic equations. I. J. Fixed Point Theory Appl. 5 (2009), no. 2, 353--395.

[230] Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua The geometry of solutions to a segregation problem for nondivergence systems. J. Fixed Point Theory Appl., 5 (2009), no. 2, 319--351.