Luís Silvestre

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the monotonicity of the Fisher information for the Boltzmann equation	2024	Cyril Imbert Luís Silvestre Cédric Villani
+ PDF Chat	Entropy dissipation estimates for the Boltzmann equation without cut-off	2023	Jamil Chaker Luís Silvestre
+	Conditional $L^{\infty}$ estimates for the non-cutoff Boltzmann equation in a bounded domain	2023	Zhimeng Ouyang Luís Silvestre
+ PDF Chat	Regularity Estimates and Open Problems in Kinetic Equations	2023	Luís Silvestre
+	The Landau equation does not blow up	2023	Nestor Guillen Luís Silvestre
+	Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials	2023	François Golse Cyril Imbert Luís Silvestre
+	Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	2022	Luís Silvestre Stanley Snelson
+	Regularity estimates and open problems in kinetic equations	2022	Luís Silvestre
+	Holder estimates for kinetic Fokker-Planck equations up to the boundary	2022	Luís Silvestre
+	Entropy dissipation estimates for the Boltzmann equation without cut-off	2022	Jamil Chaker Luís Silvestre
+	Global regularity estimates for the Boltzmann equation without cut-off	2021	Cyril Imbert Luís Silvestre
+ PDF Chat	The Schauder estimate for kinetic integral equations	2021	Cyril Imbert Luís Silvestre
+	Regularity for the Boltzmann equation conditional to macroscopic bounds	2021	Cyril Imbert Luís Silvestre
+	Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian	2021	Luís Silvestre Stanley Snelson
+	Singular solutions to parabolic equations in nondivergence form	2020	Luís Silvestre
+ PDF Chat	Coercivity estimates for integro-differential operators	2020	Jamil Chaker Luís Silvestre
+	Regularity for the Boltzmann equation conditional to macroscopic bounds	2020	Cyril Imbert Luís Silvestre
+ PDF Chat	Gaussian Lower Bounds for the Boltzmann Equation without Cutoff	2020	Cyril Imbert Clément Mouhot Luís Silvestre
+	Singular solutions to parabolic equations in nondivergence form	2020	Luís Silvestre
+	Regularity for the Boltzmann equation conditional to macroscopic bounds	2020	Cyril Imbert Luís Silvestre
+ PDF Chat	Decay estimates for large velocities in the Boltzmann equation without cutoff	2019	Cyril Imbert Clément Mouhot Luís Silvestre
+ PDF Chat	The weak Harnack inequality for the Boltzmann equation without cut-off	2019	Cyril Imbert Luís Silvestre
+ PDF Chat	Multi-dimensional Burgers Equation with Unbounded Initial Data: Well-Posedness and Dispersive Estimates	2019	Denis Serre Luís Silvestre
+	Coercivity estimates for integro-differential operators	2019	Jamil Chaker Luís Silvestre
+	Gaussian lower bounds for the Boltzmann equation without cut-off.	2019	Cyril Imbert Clément Mouhot Luís Silvestre
+	Gaussian lower bounds for the Boltzmann equation without cut-off	2019	Cyril Imbert Clément Mouhot Luís Silvestre
+	Coercivity estimates for integro-differential operators	2019	Jamil Chaker Luís Silvestre
+ PDF Chat	Oscillation Properties of Scalar Conservation Laws	2018	Luís Silvestre
+	Decay estimates for large velocities in the Boltzmann equation without cutoff	2018	Cyril Imbert Clément Mouhot Luís Silvestre
+	A dispersive estimate for the multidimensional Burgers equation	2018	Luís Silvestre
+	Decay estimates for large velocities in the Boltzmann equation without cutoff	2018	Cyril Imbert Clément Mouhot Luís Silvestre
+ PDF Chat	Hölder gradient estimates for a class of singular or degenerate parabolic equations	2017	Cyril Imbert Tianling Jin Luís Silvestre
+	Oscillation properties of scalar conservation laws	2017	Luís Silvestre
+	Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials	2017	Stephen Cameron Luís Silvestre Stanley Snelson
+	Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials	2017	Stephen Cameron Luís Silvestre Stanley Snelson
+	Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials	2017	Stephen L. Cameron Luís Silvestre Stanley Snelson
+	Oscillation properties of scalar conservation laws	2017	Luís Silvestre
+	Upper bounds for parabolic equations and the Landau equation	2016	Luís Silvestre
+ PDF Chat	Hölder gradient estimates for parabolic homogeneous p-Laplacian equations	2016	Tianling Jin Luís Silvestre
+ PDF Chat	A New Regularization Mechanism for the Boltzmann Equation Without Cut-Off	2016	Luís Silvestre
+	H\"older gradient estimates for a class of singular or degenerate parabolic equations	2016	Cyril Imbert Tianling Jin Luís Silvestre
+	The weak Harnack inequality for the Boltzmann equation without cut-off	2016	Cyril Imbert Luís Silvestre
+ PDF Chat	Regularity for parabolic integro-differential equations with very irregular kernels	2016	Russell W. Schwab Luís Silvestre
+ PDF Chat	Estimates on elliptic equations that hold only where the gradient is large	2016	Cyril Imbert Luís Silvestre
+ PDF Chat	An integro-differential equation without continuous solutions	2016	Luís Silvestre Stanley Snelson
+ PDF Chat	A non-local Monge–Ampère equation	2016	Luis Caffarelli Luís Silvestre
+	The weak Harnack inequality for the Boltzmann equation without cut-off	2016	Cyril Imbert Luís Silvestre
+	Hölder gradient estimates for a class of singular or degenerate parabolic equations	2016	Cyril Imbert Tianling Jin Luís Silvestre
+	Upper bounds for parabolic equations and the Landau equation	2015	Luís Silvestre
+	An integro-differential equation without continuous solutions	2015	Luís Silvestre Stanley Snelson
+ PDF Chat	Uniqueness of Radial Solutions for the Fractional Laplacian	2015	Rupert L. Frank Enno Lenzmann Luís Silvestre
+ PDF Chat	On a transport equation with nonlocal drift	2015	Luís Silvestre Vlad Vicol
+	Hölder gradient estimates for parabolic homogeneous p-Laplacian equations	2015	Tianling Jin Luís Silvestre
+	Regularity estimates for fully non linear elliptic equations which are asymptotically convex	2015	Luís Silvestre Eduardo V. Teixeira
+	Upper bounds for parabolic equations and the Landau equation	2015	Luís Silvestre
+	An integro-differential equation without continuous solutions	2015	Luís Silvestre Stanley Snelson
+	A new regularization mechanism for the Boltzmann equation without cut-off	2014	Luís Silvestre
+ PDF Chat	Overdetermined problems for fully nonlinear elliptic equations	2014	Luís Silvestre Boyan Sirakov
+	Propagation in a non local reaction diffusion equation with spatial and genetic trait structure	2014	Henri Berestycki Tianling Jin Luís Silvestre
+	On Landis’ Conjecture in the Plane	2014	Carlos E. Kenig Luís Silvestre Jenn‐Nan Wang
+	A non local Monge-Ampere equation	2014	Luis Caffarelli Luís Silvestre
+	On a transport equation with nonlocal drift	2014	Luís Silvestre Vlad Vicol
+ PDF Chat	Global well-posedness of slightly supercritical active scalar equations	2014	Michael G. Dabkowski Alexander Kiselev Luís Silvestre Vlad Vicol
+	Hölder Regularity for Generalized Master Equations with Rough Kernels	2014	Luis Caffarelli Luís Silvestre
+	On Landis' conjecture in the plane	2014	Carlos E. Kenig Luís Silvestre Jenn‐Nan Wang
+	A new regularization mechanism for the Boltzmann equation without cut-off	2014	Luís Silvestre
+	Propagation in a non local reaction diffusion equation with spatial and genetic trait structure	2014	Henri Berestycki Tianling Jin Luís Silvestre
+	A non local Monge-Ampere equation	2014	Luis Caffarelli Luís Silvestre
+	On a transport equation with nonlocal drift	2014	Luís Silvestre Vlad Vicol
+	Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations	2013	Luís Silvestre Boyan Sirakov
+	Overdetermined problems for fully nonlinear elliptic equations	2013	Luís Silvestre Boyan Sirakov
+	Boundary regularity for viscosity solutions of fully nonlinear elliptic equations	2013	Luís Silvestre Boyan Sirakov
+	Uniqueness of radial solutions for the fractional Laplacian	2013	Rupert L. Frank Enno Lenzmann Luís Silvestre
+ PDF Chat	An Introduction to Fully Nonlinear Parabolic Equations	2013	Cyril Imbert Luís Silvestre
+	Overdetermined problems for fully nonlinear elliptic equations	2013	Luís Silvestre Boyan Sirakov
+	Boundary regularity for viscosity solutions of fully nonlinear elliptic equations	2013	Luís Silvestre Boyan Sirakov
+	Uniqueness of radial solutions for the fractional Laplacian	2013	Rupert L. Frank Enno Lenzmann Luís Silvestre
+ PDF Chat	Hölder estimates for advection fractional-diffusion equations	2012	Luís Silvestre
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:math> regularity of solutions of some degenerate fully non-linear elliptic equations	2012	Cyril Imbert Luís Silvestre
+ PDF Chat	On the Loss of Continuity for Super-Critical Drift-Diffusion Equations	2012	Luís Silvestre Vlad Vicol Andrej Zlatoš
+ PDF Chat	Hölder Continuity to Hamilton-Jacobi Equations with Superquadratic Growth in the Gradient and Unbounded Right-hand Side	2012	Pierre Cardaliaguet Luís Silvestre
+ PDF Chat	Hölder continuity for a drift-diffusion equation with pressure	2012	Luís Silvestre Vlad Vicol
+ PDF Chat	On the differentiability of the solution to an equation with drift and fractional diffusion	2012	Luís Silvestre
+	H\"older continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side	2011	Pierre Cardaliaguet Luís Silvestre
+	On divergence-free drifts	2011	G. Serëgin Luís Silvestre Vladimír Šverák Andrej Zlatoš
+ PDF Chat	The Evans-Krylov theorem for nonlocal fully nonlinear equations	2011	Luis Caffarelli Luís Silvestre
+ PDF Chat	The Dirichlet problem for the convex envelope	2011	Adam M. Oberman Luís Silvestre
+	Partial regularity of solutions of fully nonlinear uniformly elliptic equations	2011	Scott N. Armstrong Luís Silvestre Charles K. Smart
+	Unique continuation for fully nonlinear elliptic equations	2011	Scott N. Armstrong Luís Silvestre
+	Full regularity of a free boundary problem with two phases	2011	Huiqiang Jiang Christopher J. Larsen Luís Silvestre
+ PDF Chat	Unique Continuation for Fully Nonlinear Elliptic Equations	2011	Scott N. Armstrong Luís Silvestre
+	Unique continuation for fully nonlinear elliptic equations	2011	Scott N. Armstrong Luís Silvestre
+	Partial regularity of solutions of fully nonlinear uniformly elliptic equations	2011	Scott N. Armstrong Luís Silvestre Charles K. Smart
+	Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side	2011	Pierre Cardaliaguet Luís Silvestre
+	On the differentiability of the solution to an equation with drift and fractional diffusion	2010	Luís Silvestre
+	Upper bounds for multiphase composites in any dimension	2010	Luís Silvestre
+	Holder estimates for advection fractional-diffusion equations	2010	Luís Silvestre
+	On the differentiability of the solution to the Hamilton–Jacobi equation with critical fractional diffusion	2010	Luís Silvestre
+ PDF Chat	Regularity Results for Nonlocal Equations by Approximation	2010	Luis Caffarelli Luís Silvestre
+	The Dirichlet problem for the convex envelope	2010	Luís Silvestre Adam M. Oberman
+	Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations	2010	Luis Caffarelli Luís Silvestre
+ PDF Chat	On the Evans-Krylov theorem	2010	Luis Caffarelli Luís Silvestre
+ PDF Chat	Hölder continuity for integro-differential parabolic equations with polynomial growth respect to the gradient	2010	Luís Silvestre
+	On Divergence-free Drifts	2010	G. Serëgin Luís Silvestre Vladimír Šverák Andrej Zlatoš
+	Eventual regularization of the slightly supercritical fractional Burgers equation	2010	Chi Hin Chan Magdalena Czubak Luís Silvestre
+	On the differentiability of the solution to an equation with drift and fractional diffusion	2010	Luís Silvestre
+	The Dirichlet problem for the convex envelope	2010	Luís Silvestre Adam M. Oberman
+	Upper bounds for multiphase composites in any dimension	2010	Luís Silvestre
+	Holder estimates for advection fractional-diffusion equations	2010	Luís Silvestre
+	On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion	2009	Luís Silvestre
+ PDF Chat	Eventual regularization for the slightly supercritical quasi-geostrophic equation	2009	Luís Silvestre
+	On the Evans-Krylov theorem	2009	Luis Caffarelli Luís Silvestre
+	Regularity results for nonlocal equations by approximation	2009	Luis Caffarelli Luís Silvestre
+ PDF Chat	Regularity theory for fully nonlinear integro‐differential equations	2009	Luis Caffarelli Luís Silvestre
+	Eventual regularization of the slightly supercritical fractional Burgers equation	2009	Chi Hin Chan Magdalena Czubak Luís Silvestre
+	The Evans-Krylov theorem for non local fully non linear equations	2009	Luis Caffarelli Luís Silvestre
+	Regularity results for nonlocal equations by approximation	2009	Luis Caffarelli Luís Silvestre
+	On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion	2009	Luís Silvestre
+	On the Evans-Krylov theorem	2009	Luis Caffarelli Luís Silvestre
+ PDF Chat	Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian	2007	Luis Caffarelli Sandro Salsa Luís Silvestre
+	Regularity for the nonlinear Signorini problem	2007	Emmanouil Milakis Luís Silvestre
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre
+	Holder estimates for solutions of integro differential equations like the fractional laplace	2006	Luís Silvestre
+	The Two Membranes Problem	2005	Luís Silvestre
+	On the regularity of a singular variational problem	2005	Erik Lindgren Luís Silvestre

Common Coauthors

Coauthor	Papers Together
Cyril Imbert	22
Luis A. Caffarelli	16
Stanley Snelson	8
Tianling Jin	7
Clément Mouhot	6
Boyan Sirakov	6
Vlad Vicol	6
Scott N. Armstrong	5
Jamil Chaker	5
Andrej Zlatoš	3
Enno Lenzmann	3
Pierre Cardaliaguet	3
Rupert L. Frank	3
Adam M. Oberman	3
Chi Hin Chan	2
Charles K. Smart	2
Carlos E. Kenig	2
Stephen Cameron	2
Magdalena Czubak	2
Vladimír Šverák	2
Jenn‐Nan Wang	2
G. Serëgin	2
Henri Berestycki	2
Denis Serre	1
Alexander Kiselev	1
Erik Lindgren	1
Huiqiang Jiang	1
Michael G. Dabkowski	1
Sandro Salsa	1
Stephen L. Cameron	1
Zhimeng Ouyang	1
Cédric Villani	1
Russell W. Schwab	1
Eduardo V. Teixeira	1
Nestor Guillen	1
Emmanouil Milakis	1
Christopher J. Larsen	1
François Golse	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fully Nonlinear Elliptic Equations	1995	Luis Caffarelli Xavier Cabré	19
+ PDF Chat	A New Regularization Mechanism for the Boltzmann Equation Without Cut-Off	2016	Luís Silvestre	16
+	Holder estimates for solutions of integro differential equations like the fractional laplace	2006	Luís Silvestre	15
+ PDF Chat	Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation	2010	Luis Caffarelli Alexis Vasseur	15
+ PDF Chat	Regularity theory for fully nonlinear integro‐differential equations	2009	Luis Caffarelli Luís Silvestre	14
+ PDF Chat	The weak Harnack inequality for the Boltzmann equation without cut-off	2019	Cyril Imbert Luís Silvestre	14
+	Entropy Dissipation and Long-Range Interactions	2000	Radjesvarane Alexandre Laurent Desvillettes Cédric Villani Bernt Wennberg	14
+	Global classical solutions of the Boltzmann equation without angular cut-off	2011	Philip T. Gressman Robert M. Strain	13
+	On the differentiability of the solution to the Hamilton–Jacobi equation with critical fractional diffusion	2010	Luís Silvestre	11
+ PDF Chat	Small Perturbation Solutions for Elliptic Equations	2007	Ovidiu Savin	11
+	Eventual regularization of the slightly supercritical fractional Burgers equation	2010	Chi Hin Chan Magdalena Czubak Luís Silvestre	11
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	11
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	11
+	The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	11
+	On the Boltzmann equation for long‐range interactions	2001	Radjesvarane Alexandre Cédric Villani	10
+ PDF Chat	Regularity for solutions of non local parabolic equations	2012	Héctor A. Chang‐Lara Gonzalo Dávila	9
+ PDF Chat	Second-order elliptic integro-differential equations: viscosity solutions' theory revisited	2007	Guy Barles Cyril Imbert	9
+ PDF Chat	Nonlinear maximum principles for dissipative linear nonlocal operators and applications	2012	Peter Constantin Vlad Vicol	9
+	On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation	2004	Laurent Desvillettes Cédric Villani	9
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	9
+	Smoothing Estimates for Boltzmann Equation with Full-Range Interactions: Spatially Homogeneous Case	2011	Yemin Chen Ling-Bing He	9
+ PDF Chat	Blow up and regularity for fractal Burgers equation	2008	Alexander Kiselev Fëdor Nazarov Roman Shterenberg	8
+	LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES	2005	Radjesvarane Alexandre Mouhamad El Safadi	8
+ PDF Chat	Eventual regularization for the slightly supercritical quasi-geostrophic equation	2009	Luís Silvestre	8
+	A Review of Mathematical Topics in Collisional Kinetic Theory	2002	Cédric Villani	8
+	BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN	1984	Н. В. Крылов	8
+	Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff	2004	Laurent Desvillettes Bernt Wennberg	8
+	Upper bounds for parabolic equations and the Landau equation	2016	Luís Silvestre	8
+	Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations II. Non cutoff case and non Maxwellian molecules	2009	Radjesvarane Alexandre Mouhamad Elsafadi	8
+	A priori estimates for integro-differential operators with measurable kernels	2008	Moritz Kaßmann	8
+ PDF Chat	Global well-posedness for the critical 2D dissipative quasi-geostrophic equation	2006	Alexander Kiselev Fëdor Nazarov Alexander Volberg	8
+	A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS	1981	Н. В. Крылов M. V. Safonov	7
+	Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff	2009	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	7
+ PDF Chat	Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions	2005	Clément Mouhot	7
+ PDF Chat	Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation	2019	François Golse Cyril Imbert Clément Mouhot Alexis Vasseur	7
+ PDF Chat	Stability and Uniqueness for the Spatially Homogeneous Boltzmann Equation with Long-Range Interactions	2009	Laurent Desvillettes Clément Mouhot	6
+	Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation	2016	François Golse Cyril Imbert Clément Mouhot Alexis Vasseur	6
+ PDF Chat	Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff	2008	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	6
+	A review of Boltzmann equation with singular kernels	2009	Radjesvarane Alexandre	6
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	6
+	Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials	2017	Stephen Cameron Luís Silvestre Stanley Snelson	6
+ PDF Chat	Local existence of polynomial decay solutions to the Boltzmann equation for soft potentials	2013	Yoshinori Morimoto Tong Yang	6
+	Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data	2006	Emmanouil Milakis Luis E. Silvestre	6
+	The local regularity of solutions of degenerate elliptic equations	1982	Eugene B. Fabes Carlos E. Kenig Raul Serapioni	6
+	Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production	2011	Philip T. Gressman Robert M. Strain	6
+ PDF Chat	Local Regularity for Parabolic Nonlocal Operators	2013	Matthieu Felsinger Moritz Kaßmann	6
+ PDF Chat	Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	6
+	The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations	1988	Robert Jensen	6
+ PDF Chat	Transition Probabilities for Symmetric Jump Processes	2002	Richard F. Bass David Levin	6
+ PDF Chat	Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation	2010	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	6