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ABSTRACT
We study the Cauchy Problem associated to a class of quasilinear Schrödinger equations which have been derived as models of several physical phenomenas. We prove local existence in arbitrary space dimension N without any smallness condition on the initial data.
ACKNOWLEDGMENTS
I wish to express my deepest gratitude to my Thesis Advisor Anne de Bouard for all the helpful and fruitful discussions we had and her valuable guidance during the preparation of this work.