A Generalization of an Integrability Theorem of Darboux-Reference-Cited by-同舟云学术

A Generalization of an Integrability Theorem of Darboux

Published:2018-11-28 Issue:4 Volume:29 Page:3470-3493
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Benfield Michael,Jenssen Helge Kristian,Kogan Irina A.^ORCID

Funder

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/s12220-018-00119-6.pdf

Reference11 articles.

1. Benfield, M.: Some geometric aspects of hyperbolic conservation laws. PhD thesis, NSCU (2016). https://repository.lib.ncsu.edu/handle/1840.16/11372

2. Benfield, M., Jenssen, H.K., Kogan, I.A.: On two integrability theorems of Darboux. Unpublished manuscript (2017). arxiv:1709.07473

3. Bryant, R.L., Chern, S.S., Gardner, R.B., Goldschmidt, H.L., Griffiths, P.A.: Exterior Differential Systems. Mathematical Sciences Research Institute Publications, vol. 18. Springer, New York (1991). MR1083148 (92h:58007)

4. Darboux, G.: Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. Gauthier-Villars, Paris (1910)

5. Hartman, P.: Ordinary Differential Equations, Classics in Applied Mathematics, vol. 38. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA 2002. Corrected reprint of the second (1982) edition [Birkhäuser, Boston, MA; MR0658490 (83e:34002)]; With a foreword by Peter Bates. MR1929104

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