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Proceedings of the American Mathematical Society

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The equations determining intermediate integrals for Monge-Ampère PDE


Author: R. J. Alonso-Blanco
Journal: Proc. Amer. Math. Soc. 132 (2004), 2357-2360
MSC (2000): Primary 35A30, 58A15
DOI: https://doi.org/10.1090/S0002-9939-04-07468-4
Published electronically: March 25, 2004
MathSciNet review: 2052413
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Abstract: In this note we will find the differential equations determining the intermediate integrals for Monge-Ampère equations in an arbitrary number of variables.


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Additional Information

R. J. Alonso-Blanco
Affiliation: Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, E-37008 Salamanca, Spain
Email: ricardo@usal.es

DOI: https://doi.org/10.1090/S0002-9939-04-07468-4
Keywords: Nonlinear partial differential equation, Monge-Amp\`{e}re equation, jet, intermediate integral, contact manifold
Received by editor(s): May 5, 2003
Published electronically: March 25, 2004
Additional Notes: The author was partially funded by Junta de Castilla y León under contract SA077/03
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2004 American Mathematical Society