P. Lu

Applied Mathematics · with Chow · 2005–2018

A researcher in the Science corpus: 8 papers; trusts 5 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 52 citations into it; #2,351 of 7,620 by trust here, #398 by citations
• Geometry and Topology — 34 citations into it; #4,730 of 7,422 by trust here, #2,024 by citations
• Astronomy and Astrophysics — 22 citations into it; #4,656 of 10,964 by trust here, #4,357 by citations
• Computational Theory and Mathematics — 11 citations into it; #10,293 of 12,182 by trust here, #8,756 by citations
• Mathematical Physics — 5 citations into it

Whom P. Lu trusts overall

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

1. Bennett Chow
2. Dan Knopf
3. Juan Luis V'azquez
4. G. Perelman
5. Lei Ni
6. Felix Otto
7. Philippe Souplet
8. Cédric Villani

Who trusts P. Lu overall

1. Juan Luis V'azquez
2. G. Grillo
3. Sinem Güler
4. Yu Li
5. Rafe Mazzeo
6. Xiang-Dong Li
7. Duong H. Phong
8. Xianfeng David Gu
9. Jorge Lauret
10. Yanir A. Rubinstein

Papers from P. Lu's perspective

Ordered by how strongly the researchers P. Lu 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. Rotationally symmetric shrinking and ex - panding gradient Kahler - Ricci solitons
3. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects
4. The Ricci Flow: An Introduction
5. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
6. Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds
7. Ricci flow with surgery on three-manifolds
8. Ricci flow on Kähler-Einstein surfaces
9. Quasi-convergence of model geometries under the Ricci flow
10. Four-manifolds, geometries and knots

Their papers

• Local Aronson–Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds (2008) — 104 citations
• Hamilton's Ricci Flow (2018) — 560 citations
• Implicit function theorem (2015) — 265 citations
• Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons (2011) — 72 citations
• The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects (2010) — 215 citations
• The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects (2007) — 601 citations
• Ricci flow on locally homogeneous closed 4-manifolds (2005) — 55 citations
• A note on uniformization of riemann surfaces by ricci flow (2005) — 104 citations