Holonomic systems of Clairaut type

Abstract

| 176: A. Hoshiga, The initial value problems for quasi-linear war.e equations in trvo space dimensions lvith small data, 25 pages. 1992. il 177: K. Sugano, On bicommutators of modules over H-separable extension rings III, 9 pages. 1993. I l7E: T. Nakaai, Toeplitz operators and weighted norm inequalities, 17 pages. 1993. | 179: O. Ogurisu, Existence and structure of infinitely degenerate zero-energy ground states of a Wess-Zumino type model in supersymmetric quantum mechanics, 26 pages. 1993. il lE0: O. Ogurisu, Ground state of a spin 1/2 charged particle in an even dimensional magnetic field, 9 pages. I 993. fl 161: I(. Sugano, Note on H-separable Galois extension, 6 pages. 1993. | 162: NI. Yamada, Distance formulas of asymptotic Toeplitz and Hankel operators, i3 pages. 1993 | 163: G. Ishikawa, T. Ozawa, The genus of a connected compact real algebraic surface in the affine three space, 11 pages. 1993. il 1E4: T. Hibi, Canonical modules and Cohen-Macaulay types of partially ordered sets, 6 pages. 1993. il 165: Y. Giga, I(. Yama-uchi, On a lower bound {or the extinction time of surfaces moved by mean curvature, 16 pages. 1993. I lE6: Y. Iiurokarva, On {unctional modulj for first order ordinar."diferential equations, 9 pages. 1993. ! iE7: O. Ogurisu, Unitary equivalence between a spin 1/2 charged particle in a two'dimensional magnetic field and a spin 1/2 neutral particle with an anornalous magnetic moment in a twedimensional electric field, 4 pages. 1993. | 166: A. Jensen, T. Ozarva, Existence and non-existence results for lvave operators for perturbations of the laplacian, 30 pages. 1993.

Holonomic systems of general Clairaut type

“…In this case, we know that the characterization of functional moduli under the equivalence in [7]. The meaning of the genericity in the above theorem will be discribed in §2 (cf.…”

“…Furthermore, if f is an immersion germ, then we call f a holonomic system of Clairaut type (cf. [7,9]). A first order general Clairaut type ordinary differential equation…”

“…We say that a system of first order partial differential equations is general Clairaut type if it has a classical complete solution. In [5,6,7,9], the system of general Clairaut type with a regular property (which are called systems of Clairaut type) has been investigated. In particular, a generic classification and characterization of holonomic systems of Clairaut type are given in [7].…”

“…In [5,6,7,9], the system of general Clairaut type with a regular property (which are called systems of Clairaut type) has been investigated. In particular, a generic classification and characterization of holonomic systems of Clairaut type are given in [7]. Moreover, a classification of first order ordinary differential equations of general Clairaut type is given in [3].…”

“…Since our concern is the local classification of differential equations, we can formulate as follows (cf. [7]): Let π : P T * . We consider a holonomic system of first order differential equation germ (or, briefly, a holonomic system) is defined to be a smooth germ f : (R n+1 , 0) −→ P T * R n+1 .…”