Gustavo Ponce

Mathematical Physics · 2000–2011

A researcher in the Science corpus: 13 papers; trusts 19 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 38 citations into it; #1,014 of 8,562 by trust here, #525 by citations
• Statistical and Nonlinear Physics — 34 citations into it; #1,440 of 10,127 by trust here, #1,149 by citations
• Applied Mathematics — 20 citations into it; #1,666 of 7,620 by trust here, #904 by citations
• Geometry and Topology — 13 citations into it; #4,215 of 7,422 by trust here, #3,358 by citations
• Numerical Analysis — 5 citations into it

Whom Gustavo Ponce trusts overall

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

1. Carlos E. Kenig
2. Luc Molinet
3. G. Misiołek
4. A. Alexandrou Himonas
5. H. McKean
6. Herbert Koch
7. Luis Escauriaza
8. Jean Bourgain
9. S. Petermichl
10. Kenneth D. Koenig

Who trusts Gustavo Ponce overall

1. A. Alexandrou Himonas
2. Lorenzo Brandolese
3. Fabian Hornung
4. Carlos E. Kenig
5. James E. Colliander
6. Zihua Guo
7. Germán E. Fonseca
8. Masahiro Ikeda
9. P. Cherrier
10. Benjamin Harrop-Griffiths

Papers from Gustavo Ponce's perspective

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

1. Nonlinear wave interactions for the Benjamin-Ono equation.
2. The Cauchy problem for an integrable shallow-water equation (Differential and Integral Equations)
3. Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
4. Harmonic analysis (2004 IEEE Electro/Information Technology Conference)
5. High-frequency smooth solutions and well-posedness of the Camassa-Holm equation
6. Classical solutions of the periodic Camassa—Holm equation
7. On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey
8. On localization in the continuous Anderson-Bernoulli model in higher dimension
9. Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms
10. Local Well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces

Their papers

• The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces (2011) — 55 citations
• The IVP for the Benjamin-Ono equation in weighted Sobolev spaces (2010) — 79 citations
• The Hardy Uncertainty Principle Revisited (2010) — 59 citations
• Introduction to Nonlinear Dispersive Equations (2009) — 574 citations
• Hardy's uncertainty principle, convexity and Schrödinger evolutions (2008) — 99 citations
• Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation (2007) — 59 citations
• On uniqueness properties of solutions of the k-generalized KdV equations (2006) — 107 citations
• Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation (2006) — 252 citations
• On Uniqueness Properties of Solutions of Schrödinger Equations (2006) — 142 citations
• The Cauchy problem for quasi-linear Schrödinger equations (2004) — 140 citations
• On unique continuation for nonlinear Schrödinger equations (2003) — 103 citations
• On the ill-posedness of some canonical dispersive equations (2001) — 429 citations
• Extension and Representation of Divergence-free Vector Fields on Bounded Domains (2000) — 64 citations