Classification of Monge-Ampère equations with two variables

Boris Kruglikov

Banach Center Publications (1999)

  • Volume: 50, Issue: 1, page 179-194
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Kruglikov, Boris. "Classification of Monge-Ampère equations with two variables." Banach Center Publications 50.1 (1999): 179-194. <http://eudml.org/doc/209006>.

@article{Kruglikov1999,
abstract = {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.},
author = {Kruglikov, Boris},
journal = {Banach Center Publications},
keywords = {hyperbolic Monge-Ampère equations; contact transformation group; new method of finding symmetries},
language = {eng},
number = {1},
pages = {179-194},
title = {Classification of Monge-Ampère equations with two variables},
url = {http://eudml.org/doc/209006},
volume = {50},
year = {1999},
}

TY - JOUR
AU - Kruglikov, Boris
TI - Classification of Monge-Ampère equations with two variables
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 179
EP - 194
AB - 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.
LA - eng
KW - hyperbolic Monge-Ampère equations; contact transformation group; new method of finding symmetries
UR - http://eudml.org/doc/209006
ER -

References

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  14. [M] T. Morimoto, Le problème d'équivalence des équations de Monge-Ampère, C. R. Acad. Sci. Paris Sér. A-B 289 (1979), A25-A28. Zbl0425.35023
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