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June 2014 Rank Two Prolongations of Second-order PDE and Geometric Singular Solutions
Takahiro NODA, Kazuhiro SHIBUYA
Tokyo J. Math. 37(1): 73-110 (June 2014). DOI: 10.3836/tjm/1406552432

Abstract

We study geometric structures of rank two prolongations of implicit second-order partial differential equations (PDEs) for two independent and one dependent variables and characterize the type of these PDEs by the topology of fibers of the rank two prolongations. Moreover, by using properties of these prolongations, we give explicit expressions of geometric singular solutions of second-order PDEs from the point of view of contact geometry of second order.

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Takahiro NODA. Kazuhiro SHIBUYA. "Rank Two Prolongations of Second-order PDE and Geometric Singular Solutions." Tokyo J. Math. 37 (1) 73 - 110, June 2014. https://doi.org/10.3836/tjm/1406552432

Information

Published: June 2014
First available in Project Euclid: 28 July 2014

zbMATH: 1301.58002
MathSciNet: MR3264515
Digital Object Identifier: 10.3836/tjm/1406552432

Subjects:
Primary: 58A15
Secondary: 58A17

Rights: Copyright © 2014 Publication Committee for the Tokyo Journal of Mathematics

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Vol.37 • No. 1 • June 2014
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