Luis Silvestre

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	All	Since 2016
Citations	6364	4376
h-index	31	28
i10-index	53	47

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Luis Caffarelliuniversity of texas at austinVerified email at math.utexas.edu
Vlad VicolProfessor, Courant Institute of Mathematical Sciences, NYUVerified email at cims.nyu.edu
Sandro SalsaPolitecnico di MilanoVerified email at polimi.it
Tianling JinAssistant Professor, Hong Kong University of Science and TechnologyVerified email at ust.hk
Rupert FrankProfessor of Mathematics, CaltechVerified email at caltech.edu
Emmanouil MilakisUniversity of CyprusVerified email at ucy.ac.cy
Scott ArmstrongProfessor, Courant Institute of Mathematical Sciences, New York UniversityVerified email at cims.nyu.edu
Gregory SereginPDMI and Oxford UniversityVerified email at maths.ox.ac.uk
Russell SchwabAssistant Professor, Department of Mathematics, Michigan State UniversityVerified email at math.msu.edu
Adam M. ObermanProfessor, Department of Mathematics and Statistics, McGill UniversityVerified email at mcgill.ca
Stanley SnelsonAssistant Professor of Mathematical Sciences, Florida Institute of TechnologyVerified email at fit.edu
Alexander KiselevDuke UniversityVerified email at math.duke.edu
Pedro MasseyDto. de Matemática (CMaLP) - Universidad Nacional de La Plata & CONICET (IAM), ArgentinaVerified email at mate.unlp.edu.ar
Francisco Martinez PeriaCMaLP-Fac. Cs. Exactas-UNLP & IAM-CONICETVerified email at mate.unlp.edu.ar
Magdalena CzubakAssistant Professor of Mathematics, University of Colorado BoulderVerified email at colorado.edu
Clément MouhotUniversity of CambridgeVerified email at dpmms.cam.ac.uk
Charles SmartMITVerified email at math.mit.edu
Henri BerestyckiProfessor, EHESSVerified email at ehess.fr
Stephen CameronCourant Institute, NYUVerified email at email.wm.edu
Erik LindgrenAss. Professor, Uppsala University, UppsalaVerified email at math.uu.se

Luis Silvestre

Professor of Mathematics, University of Chicago

Verified email at math.uchicago.edu - Homepage

Partial Differential Equations


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
An extension problem related to the fractional Laplacian L Caffarelli, L Silvestre Communications in partial differential equations 32 (8), 1245-1260, 2007	2069	2007
Regularity of the obstacle problem for a fractional power of the Laplace operator L Silvestre Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007	888	2007
Regularity theory for fully nonlinear integro‐differential equations L Caffarelli, L Silvestre Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009	472	2009
Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian LA Caffarelli, S Salsa, L Silvestre Inventiones mathematicae 171 (2), 425-461, 2008	439	2008
Uniqueness of radial solutions for the fractional Laplacian RL Frank, E Lenzmann, L Silvestre Communications on Pure and Applied Mathematics 69 (9), 1671-1726, 2016	280	2016
Hölder estimates for solutions of integro-differential equations like the fractional Laplace L Silvestre Indiana University mathematics journal, 1155-1174, 2006	228	2006
Regularity results for nonlocal equations by approximation L Caffarelli, L Silvestre Archive for rational mechanics and analysis 200 (1), 59-88, 2011	199	2011
The Evans-Krylov theorem for nonlocal fully nonlinear equations L Caffarelli, L Silvestre Annals of mathematics, 1163-1187, 2011	122	2011
Hölder estimates for advection fractional-diffusion equations L Silvestre Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 11 (4), 843-855, 2012	84	2012
On the differentiability of the solution to the Hamilton–Jacobi equation with critical fractional diffusion L Silvestre Advances in mathematics 226 (2), 2020-2039, 2011	83	2011
On divergence-free drifts G Seregin, L Silvestre, V Šverák, A Zlatoš Journal of Differential Equations 252 (1), 505-540, 2012	81	2012
Eventual regularization for the slightly supercritical quasi-geostrophic equation L Silvestre Annales de l'Institut Henri Poincare (C) Non Linear Analysis 27 (2), 693-704, 2010	76	2010
On the differentiability of the solution to an equation with drift and fractional diffusion L Silvestre Indiana University Mathematics Journal, 557-584, 2012	72	2012
Regularity for parabolic integro-differential equations with very irregular kernels RW Schwab, L Silvestre Analysis & PDE 9 (3), 727-772, 2016	58	2016
C1, α regularity of solutions of some degenerate fully non-linear elliptic equations C Imbert, L Silvestre Advances in Mathematics 233 (1), 196-206, 2013	58	2013
An introduction to fully nonlinear parabolic equations C Imbert, L Silvestre An introduction to the Kähler-Ricci flow, 7-88, 2013	57	2013
Regularity for fully nonlinear elliptic equations with Neumann boundary data E Milakis, LE Silvestre Communications in Partial Differential Equations 31 (8), 1227-1252, 2006	56	2006
The Dirichlet problem for the convex envelope A Oberman, L Silvestre Transactions of the American Mathematical Society 363 (11), 5871-5886, 2011	55	2011
On the loss of continuity for super-critical drift-diffusion equations L Silvestre, V Vicol, A Zlatoš Archive for Rational Mechanics and Analysis 207 (3), 845-877, 2013	54	2013
Global well-posedness of slightly supercritical active scalar equations M Dabkowski, A Kiselev, L Silvestre, V Vicol Analysis & PDE 7 (1), 43-72, 2014	52	2014

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