F. Planchon

Mathematical Physics · 2000–2014

A researcher in the Science corpus: 16 papers; trusts 20 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 42 citations into it; #421 of 8,562 by trust here, #525 by citations
• Applied Mathematics — 26 citations into it; #483 of 7,620 by trust here, #777 by citations
• Control and Systems Engineering — 12 citations into it; #1,285 of 8,257 by trust here, #2,078 by citations
• Statistical and Nonlinear Physics — 11 citations into it

Whom F. Planchon trusts overall

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

1. F. Merle
2. Pierre Raphael
3. Nicolas Burq
4. Terence Tao
5. Carlos E. Kenig
6. A. Ionescu
7. D. Tataru
8. Marco Cannone
9. Hart F. Smith
10. H. Kozono

Who trusts F. Planchon overall

1. B. Dodson
2. Nader Masmoudi
3. Raphaël Danchin
4. Luc Molinet
5. Marco Cannone
6. Qionglei Chen
7. Changxing Miao
8. Rowan Killip
9. Francis Ribaud
10. Dongho Chae

Papers from F. Planchon's perspective

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

1. Semilinear Schrodinger Equations
2. Two singular dynamics of the nonlinear Schrödinger equation on a plane domain
3. Maximal Functions Associated to Filtrations
4. On universality of blow-up profile for L2 critical nonlinear Schrödinger equation
5. Nonlinear wave interactions for the Benjamin-Ono equation.
6. Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations
7. Global well-posedness in L2 for the periodic Benjamin-Ono equation
8. Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
9. On the Lp norm of spectral clusters for compact manifolds with boundary
10. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds

Their papers

• Blow-up of Critical Besov Norms at a Potential Navier–Stokes Singularity (2014) — 88 citations
• Dispersion for the wave equation inside strictly convex domains I: the Friedlander model case (2012) — 49 citations
• Existence and Stability of the log–log Blow-up Dynamics for the L2-Critical Nonlinear Schrödinger Equation in a Domain (2007) — 49 citations
• Bilinear virial identities and applications (2007) — 173 citations
• Global existence for energy critical waves in 3-d domains (2006) — 134 citations
• On well-posedness for the Benjamin–Ono equation (2005) — 111 citations
• Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay (2004) — 215 citations
• An Extension of the Beale-Kato-Majda Criterion for the Euler Equations (2003) — 61 citations
• Dispersive estimate for the wave equation with the inverse-square potential (2003) — 65 citations
• On global solutions to a defocusing semi-linear wave equation (2003) — 46 citations
• On Global Infinite Energy Solutions¶to the Navier-Stokes Equations¶in Two Dimensions (2002) — 95 citations
• $L^p$ Estimates for the wave equation with the inverse-square potential (2002) — 83 citations
• Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential (2002) — 303 citations
• Strong Solutions To The Incompressible Navier Stokes Equations In The Half Space (2000) — 48 citations
• On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations (2000) — 52 citations
• Self-similar solutions and semi-linear wave equations in Besov spaces (2000) — 47 citations