G. Grillo

Applied Mathematics · 2001–2016

A researcher in the Science corpus: 11 papers; trusts 22 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 73 citations into it; #1,931 of 7,620 by trust here, #1,077 by citations
• Computational Theory and Mathematics — 45 citations into it; #3,326 of 12,182 by trust here, #2,419 by citations
• Mathematical Physics — 24 citations into it
• Geometry and Topology — 11 citations into it
• Numerical Analysis — 11 citations into it
• Computational Mechanics — 8 citations into it

Whom G. Grillo trusts overall

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

1. Juan Luis V'azquez
2. Matteo Bonforte
3. José Antonio Carrillo
4. Alexander Grigorʼyan
5. P. Lu
6. G. Perelman
7. Lei Ni
8. A. Tertikas
9. F. Cipriani
10. Giuseppe Toscani

Who trusts G. Grillo overall

1. Juan Luis V'azquez
2. Matteo Bonforte
3. M. Porzio
4. D. Bianchi
5. A. G. Setti
6. Guozhen Lu
7. Jean Dolbeault

Papers from G. Grillo's perspective

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

1. The entropy formula for the Ricci flow and its geometric applications
2. The Ricci Flow: An Introduction
3. Asymptotic L1-decay of solutions of the porous medium equation to self-similarity
4. The entropy formula for linear heat equation
5. Sobolev Spaces
6. Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type
7. Global positivity estimates and Harnack inequalities for the fast diffusion equation
8. Classification of the Solutions of Semilinear Elliptic Problems in a Ball
9. Differential Harnack inequalities and the Ricci flow
10. Local Aronson–Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds

Their papers

• Asymptotics of the Fast Diffusion Equation via Entropy Estimates (2007) — 169 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
• Uniform Bounds for Solutions to Quasilinear Parabolic Equations (2001) — 72 citations
• Special Fast Diffusion with Slow Asymptotics: Entropy Method and Flow on a Riemannian Manifold (2008) — 54 citations
• Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincar\'e inequalities (2012) — 56 citations
• The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour (2016) — 51 citations
• Sharp Poincar\'e-Hardy and Poincar\'e-Rellich inequalities on the hyperbolic space (2015) — 77 citations
• Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space (2011) — 56 citations
• Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces (2003) — 50 citations