Dept. Math, Hokkaido Univ. EPrints Server

Holonomic systems of general Clairaut type

Preprint Series # 618
Takahashi, Masatomo Holonomic systems of general Clairaut type. (30 November 2004);

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Abstract

In this papar we consider an important class of first order partial differential equations (or, holonomic systems). The notion of general Clairaut type equations is one of the generalized notions of classical Clairaut equations. We give a generic classification of holonomic systems of general Clairaut type as an application of the theory of complete Legendrian unfoldings.

Item Type:Preprint
Uncontrolled Keywords:2000 Mathematics Subject classification: Primary 58K50, Secondary 34A26, 37G05, 35F20; Key Words and Phrases. holonomic system, holonomic system of general Clairaut type, Legendrian singu-larity theory
Subjects:58-xx GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS
ID Code:12