Overdetermined Systems of First Order Partial Differential Equations with Singular Solution

Citation
Shyuichi, Izumiya et Bing, Li, Overdetermined Systems of First Order Partial Differential Equations with Singular Solution, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 13(3), 1997, pp. 327-332
ISSN journal
10009574
Volume
13
Issue
3
Year of publication
1997
Pages
327 - 332
Database
ACNP
SICI code
Abstract
We study overdetermined systems of first order partial differential equations with singular solutions. The main result gives a characterization of such systems and asserts that the singular solution is equal to the contact singular set.