Abstract
In this paper, we try to understand the action of the homotopy group on the solution of the ramified Cauchy problem. R. Camales has obtained very simple results about the spectrum of the monodromy. All the proofs will be given in [1].
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References
Camales, R., Monodromie du problème de Cauchy ramifié, in preparation.
Hamada, Y., Leray, J. et Wagschal, C., Systèmes d’ équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifié; hyperbolicité partielleJ. Math. Pures Appl. 55(1976), 297–352.
Leichtnam, E., Le problème de Cauchy ramifiéAnn. scient. Éc. Norm. Sup. 23 (1990), 369–443.
Pongérard, P. and Wagschal, C., Ramification non abélienneJ. Math. Pures Appl. 77(1998), 51–88.
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Camales, R., Wagschal, C. (2003). Monodromy of the Ramified Cauchy Problem. In: Kajitani, K., Vaillant, J. (eds) Partial Differential Equations and Mathematical Physics. Progress in Nonlinear Differential Equations and Their Applications, vol 52. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0011-6_4
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DOI: https://doi.org/10.1007/978-1-4612-0011-6_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6572-6
Online ISBN: 978-1-4612-0011-6
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