use of Strichartz estimates

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I have been learning(understanding) the Strichartz estimates.

My naive Questions:

(1) Can you give some ideas, how Strichartz estimates plays role in solving nonlinear dispersive equations(e.g. non-linear Shrodinger) ? (2) Is this estimate helpful to get the local wellposedness results or global well posedness results ? (3)Can you motivates a bit why one should study this kind of estimates ?

Thanks,