Local existence and stability of multivalued solutions to determined analytic first-order systems on the plane

DOI10.1215/S0012-7094-93-06926-8zbMath0785.35019MaRDI QIDQ1261122

Marek Kossowski

Publication date: 27 April 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

stabilitylocal existencetransversalitynonlinear equationsmultivalued solutionsfirst order systemsThom-Boardman singularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear first-order PDEs (35F20) Jets in global analysis (58A20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Cites Work

• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121)
• A differential geometric generalization of characteristics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item