Concepedia

Gustavo Ponce

GP

78

Publications

10.2K

Citations

41

H-Index

1983

Active since

Affiliations

University of California, Santa Barbara(Current)

University of Chicago

University of the Basque Country

Instituto Nacional de Matemática Pura e Aplicada

Universidad Nacional de Colombia

Gustavo Ponce is an author at University of California, Santa Barbara specializing in engineering, functional analysis, and physics.

Top concepts

EngineeringFunctional AnalysisPhysicsSpectral TheoryWave TheoryNumerical AnalysisEntropyFluid DynamicsEnvironmental EngineeringBioenergy

Publications per year

1983–2021

78

Publications

78

Commutator estimates and the euler and navier‐stokes equations

Tosio Kato, Gustavo Ponce · Communications on Pure and Applied Mathematics · 1988 · 1.8K citations

Global Analysis, Navier-stokes Equations, Commutator Estimates

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Communications on Pure and Applied Mathematics · 1993 · 1.4K citations

Numerical Analysis, Generalized Korteweg‐de Vries, Nonlinear Hyperbolic Problem +2

A bilinear estimate with applications to the KdV equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Journal of the American Mathematical Society · 1996 · 844 citations · Full text

Variational Analysis, Oscillatory Integral Techniques, Potential Theory +10

Well-posedness of the initial value problem for the Korteweg-de Vries equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Journal of the American Mathematical Society · 1991 · 628 citations

Numerical Analysis, Initial Value Problem, Physics +11

The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Duke Mathematical Journal · 1993 · 419 citations

Spectral Theory, Elliptic Equation, Engineering +7

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