C. Imbert

Applied Mathematics · 2005–2018

A researcher in the Science corpus: 15 papers; trusts 47 researchers and is trusted by 58 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 87 citations into it; #177 of 7,620 by trust here, #273 by citations
• Computational Theory and Mathematics — 48 citations into it; #428 of 12,182 by trust here, #704 by citations
• Mathematical Physics — 47 citations into it; #1,936 of 8,562 by trust here, #1,895 by citations
• Control and Systems Engineering — 20 citations into it; #4,483 of 8,257 by trust here, #6,417 by citations
• Finance — 18 citations into it
• Computational Mechanics — 7 citations into it
• Economics and Econometrics — 7 citations into it
• Numerical Analysis — 7 citations into it

Whom C. Imbert trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. M. Crandall
2. Luis Silvestre
3. M. Kassmann
4. Luis Caffarelli
5. Radjesvarane Alexandre
6. Hitoshi Ishii
7. Ovidiu Savin
8. Guy Barles
9. Andrea Pascucci
10. Russell W. Schwab

Who trusts C. Imbert overall

1. Luis Silvestre
2. Adina Ciomaga
3. Nathael Alibaud
4. Guy Barles
5. Russell W. Schwab
6. M. Kassmann
7. Juan Luis V'azquez
8. Pierre-Louis Lions
9. Xavier Ros-Oton
10. Emmanuel Chasseigne

Papers from C. Imbert's perspective

Ordered by how strongly the researchers C. Imbert trusts endorse each paper. Same corpus, a different order for every researcher.

1. Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
2. User’s guide to viscosity solutions of second order partial differential equations
3. Regularity theory for parabolic nonlinear integral operators
4. Regularity theory for fully nonlinear integro‐differential equations
5. The Landau Equation in a Periodic Box
6. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
7. A non-local regularization of first order Hamilton–Jacobi equations
8. Regularity for solutions of non local parabolic equations
9. Harnack Inequalities for Jump Processes
10. Corrigendum to “Global heat kernel estimates for symmetric jump processes”

Their papers

• Second-order elliptic integro-differential equations: viscosity solutions' theory revisited (2007) — 426 citations
• Lipschitz regularity of solutions for mixed integro-differential equations (2011) — 123 citations
• On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations (2008) — 195 citations
• An Introduction to Fully Nonlinear Parabolic Equations (2013) — 90 citations
• Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations (2011) — 132 citations
• Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations (2009) — 81 citations
• A Hamilton-Jacobi approach to junction problems and application to traffic flows (2011) — 131 citations
• Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks (2013) — 111 citations
• Estimates on elliptic equations that hold only where the gradient is large (2013) — 90 citations
• The Schauder estimate for kinetic integral equations (2018) — 66 citations
• The weak Harnack inequality for the Boltzmann equation without cut-off (2016) — 118 citations
• Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation (2016) — 170 citations
• Barenblatt profiles for a nonlocal porous medium equation (2010) — 67 citations
• Fractal First-Order Partial Differential Equations (2006) — 193 citations
• A non-local regularization of first order Hamilton–Jacobi equations (2005) — 99 citations