VI Contents §A. Nonlinear dyadic analysis 77 §B. Microlocal analysis: wave front set and pseudo-differential operators 89 §C. Energy estimates 98 Commentary on Chapter II 106 Exercises for Chapter II 107 Chapter III. Implicit function theorems 121 §A. Implicit function theorem and elliptic problems 121 §B. Two examples of the use of the fixed-point method 128 §C. Nash-Moser theorem 135 Commentary on Chapter III 153 Exercises for Chapter III 154 Bibliography 161 Main notation introduced 165 Index 167
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