Classification of Monge-Ampère equations with two variables
Kruglikov, Boris
Banach Center Publications, Tome 50 (1999), p. 179-194 / Harvested from The Polish Digital Mathematics Library
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This paper deals with the classification of hyperbolic Monge-Ampère equations on a two-dimensional manifold. We solve the local equivalence problem with respect to the contact transformation group assuming that the equation is of general position nondegenerate type. As an application we formulate a new method of finding symmetries. This together with previous author's results allows to state the solution of the classical S. Lie equivalence problem for the Monge-Ampère equations.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:209006 
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     title = {Classification of Monge-Amp\`ere equations with two variables},
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Kruglikov, Boris. Classification of Monge-Ampère equations with two variables. Banach Center Publications, Tome 50 (1999) pp. 179-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv50z1p179bwm/

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