Concepedia

Patrick Gérard

PG

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Publications

53

Citations

3.8K

H-Index

29

Active since

1984

Affiliations

Université Paris-Sud(Current)

Centre National de la Recherche Scientifique

Laboratoire de Mathématiques d'Orsay

Université Paris-Saclay

Université Paris Cité

Patrick Gérard is an author at Université Paris-Sud specializing in physics, engineering, and natural sciences.

Top concepts

PhysicsEngineeringAtomic PhysicsNatural SciencesApplied PhysicsQuantum ChemistryFunctional AnalysisSpectroscopyChemistrySpectral Theory

Publications per year

1984–2024

53

Publications

53

Microlocal defect measures

Patrick Gérard · Communications in Partial Differential Equations · 1991 · 513 citations

Engineering, Measurement, Microscopy +17

High frequency approximation of solutions to critical nonlinear wave equations

Hajer Bahouri, Patrick Gérard · American Journal of Mathematics · 1999 · 498 citations

Numerical Analysis, Spectral Theory, Elliptic Equation +14

Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds

Nicolas Burq, Patrick Gérard, Nikolay Tzvetkov · American Journal of Mathematics · 2004 · 366 citations

Strichartz Inequalities, Geometric Partial Differential Equation, Riemann-hilbert Problem +8

Ergodic properties of eigenfunctions for the Dirichlet problem

Patrick Gérard, Éric Leichtnam · Duke Mathematical Journal · 1993 · 275 citations

Spectral Theory, Dirichlet Form, Engineering +3

Description of the lack of compactness for the Sobolev imbedding

Patrick Gérard · ESAIM Control Optimisation and Calculus of Variations · 1998 · 216 citations · Full text

Almost-orthogonal Sum, Bounded Sequence, Concentration-compactness Principle +2

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