Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity

@article{Chen2001FormalSO,
  title={Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity},
  author={Hua Chen and Zhuangchu Luo and Hidetoshi Tahara},
  journal={Annales de l'Institut Fourier},
  year={2001},
  volume={51},
  pages={1599-1620}
}
Dans cet article, nous calculons l'indice Gevrey des solutions formelles (avec des conditions initiales donnees) d'une certaine classe d'equations aux derivees partielles non lineaires du premier ordre, du type totalement caracteristique et ayant une singularite irreguliere en la variable spatiale. Nous montrons egalement que l'indice obtenu est generiquement optimal. 
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Title CONVERGENCE OF FORMAL SOLUTIONS OF SINGULAR FIRST ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TOTALLY CHARACTERISTIC TYPE (Integral representations and twisted cohomology in the theory of differential equations)
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