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On Contact Equivalence of Monge-Ampère Equations to

✍ Scribed by Alexei G. Kushner

Book ID: 106335001
Publisher: Springer Netherlands
Year: 2009
Tongue: English
Weight: 332 KB
Volume: 109
Category: Article
ISSN: 0167-8019
DOI: 10.1007/s10440-009-9447-z

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In this paper we examine the singularities of solution surfaces of Monge-Ampère equations and study their global and local effects on the solutions for certain kinds of equations in the framework of contact geometry. In particular, as a byproduct, we give a simple proof to the classical Hartman-Nire