4 General introduction Classical symbolic calculus of pseudo-differential operators Elliptic perturbation situations Wave front set Propagation of singularities Nash-Moser theorem Fixed-point situations In this spirit, we were recently very happy to learn of the work of L. Hormander [H9], explaining the links between pseudo-differential and paradifferential operators, fixed-point methods and the Nash-Moser theo- rem. Finally, we are grateful to G. Ben Arous and J.B. Bost for their kind and valuable suggestions.
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