Germes de configurations legendriennes stables et fonctions d'Airy-Weber généralisées. (Germs of stable Legendre configurations and generalized Airy-Weber functions.)

DOI10.5802/aif.1279zbMath0741.58048OpenAlexW2326153937MaRDI QIDQ811641

Nguyen Hu'c Du'c, Frédéric Pham

Publication date: 1991

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_4_905_0

zbMATH Keywords

stabilityLagrangian manifoldcausticscharacteristicsAiry functionsLegendre manifoldWeber functionsHuygens- Fresnel principlemicrodifferential moduleswaves of high frequency

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear first-order PDEs (35F20) Applications of PDEs on manifolds (58J90)

Related Items

Singular Lagrangian manifolds and semiclassical analysis., Parametrized Legendre and Lagrange varieties, Involutive singularities, Analytic geometry and semi-classical analysis, Frédéric Pham's publications., Unnamed Item, Hermite polynomial ansatz for a multidimensional well

Cites Work

• Singularités des systèmes différentiels de Gauss-Manin. Avec des contributions de Lo Kam Chan, Philippe Maisonobe et Jean-Etienne Rombaldi
• Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds
• CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPSB_k,C_k, ANDF₄AND SINGULARITIES OF EVOLUTES
• Problems in harmonic analysis related to curvature
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