Matteo Bonforte

Applied Mathematics · 2005–2020

A researcher in the Science corpus: 16 papers; trusts 48 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 145 citations into it; #823 of 7,620 by trust here, #469 by citations
• Computational Theory and Mathematics — 128 citations into it; #2,392 of 12,182 by trust here, #1,352 by citations
• Mathematical Physics — 41 citations into it; #2,626 of 8,562 by trust here, #1,961 by citations
• Numerical Analysis — 25 citations into it
• Modeling and Simulation — 18 citations into it; #889 of 2,105 by trust here, #1,001 by citations
• Computational Mechanics — 14 citations into it
• Control and Systems Engineering — 14 citations into it
• Geometry and Topology — 6 citations into it

Whom Matteo Bonforte trusts overall

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

1. Juan Luis V'azquez
2. Luis Caffarelli
3. I. Athanasopoulos
4. José Antonio Carrillo
5. Xavier Ros-Oton
6. Luis Silvestre
7. Victor A. Galaktionov
8. V. Caselles
9. X. Cabré
10. G. Perelman

Who trusts Matteo Bonforte overall

1. Juan Luis V'azquez
2. G. Grillo
3. Yannick Sire
4. D. Bianchi
5. Jean Dolbeault
6. M. Porzio
7. Matteo Muratori
8. A. Audrito
9. Alessio Figalli
10. Razvan Gabriel Iagar

Papers from Matteo Bonforte's perspective

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

1. An Extension Problem Related to the Fractional Laplacian
2. Positive solutions of nonlinear problems involving the square root of the Laplacian
3. Financial Modelling with Jump Processes
4. Hitchhiker's guide to the fractional Sobolev spaces
5. Continuity of the temperature in boundary heat control problems
6. Regularity theory for parabolic nonlinear integral operators
7. The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
8. Information Theory, Inference, and Learning Algorithms
9. Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type
10. Symmetric Stable Laws and Stable‐Like Jump‐Diffusions

Their papers

• Asymptotics of the Fast Diffusion Equation via Entropy Estimates (2007) — 169 citations
• A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains (2013) — 111 citations
• Existence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains (2014) — 196 citations
• Hardy-Poincaré inequalities and applications to nonlinear diffusions (2007) — 79 citations
• Fast diffusion flow on manifolds of nonpositive curvature (2008) — 69 citations
• Asymptotics of the porous media equation via Sobolev inequalities (2005) — 62 citations
• Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations (2008) — 95 citations
• Total Variation Flow and Sign Fast Diffusion in one dimension (2011) — 49 citations
• Special Fast Diffusion with Slow Asymptotics: Entropy Method and Flow on a Riemannian Manifold (2008) — 54 citations
• Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method (2020) — 52 citations
• Optimal Existence and Uniqueness Theory for the Fractional Heat Equation (2016) — 118 citations
• Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains (2015) — 55 citations
• Quantitative local and global a priori estimates for fractional nonlinear diffusion equations (2012) — 132 citations
• Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space (2011) — 56 citations
• Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation (2009) — 54 citations
• Global positivity estimates and Harnack inequalities for the fast diffusion equation (2006) — 76 citations