Holonomic systems of general Clairaut type
type: Item
instance of: scholarly article
title: Holonomic systems of general Clairaut type
zbMATH Open document ID: 1080.58027
author: Masatomo Takahashi
published in: Hokkaido Mathematical Journal
publication date: 2005-05-06T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.hokmj/1285766207
review text: A system of first order partial differential equations is called of general Clairaut type if it has a classical complete solution. \textit{S. Izumiya} [Proc. R. Soc. Edinb., Sect. A 125, 567--586 (1994; Zbl 0843.58067), Colloq. Math. 66, 219--226 (1994; Zbl 0821.35025)], \textit{S. Izumiya} and \textit{Y. Kurokawa} [Diff. Geom. Appl. 5, 219--235 (1995; Zbl 0832.35028)] and the author of this paper [J. Differ. Equations 190, No.~2, 579--599 (2003; Zbl 1021.37031)] investigated systems of Clairaut type with a regularity property. The main result of the present paper is a generic classification of holonomic systems of general Clairaut type as an application of the theory of complete Legendrian unfoldings.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 58K50
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 37G05
Mathematics Subject Classification ID: 35F20
zbMATH DE Number: 2166204
zbMATH Keywords: holonomic system
zbMATH Keywords: holonomic system of general Clairaut type
zbMATH Keywords: Legendrian singularity theory
MaRDI profile type: Publication
OpenAlex ID: W2117147978
DOI: 10.14492/HOKMJ/1285766207
Recommended article: Holonomic systems of Clairaut type
Recommended article: Bifurcations of holonomic systems of general Clairaut type
Recommended article: Q3810025
Recommended article: Generalized holonomies
Recommended article: Integral invariants of a holonomic dynamical system
Recommended article: The Riemann-Hilbert problem for holonomic systems
Recommended article: Q4379404
Recommended article: Formal extension and quotients of the invariant holonomic system
Recommended article: On generalized nonholonomic systems
Recommended article: On systems of Clairaut type
description: scientific article; zbMATH DE number 2166204