Linear and Nonlinear Hyperbolic Equations

The gravity water-wave system with non localized rough data

speaker: Claude Zuily (Université de Paris Sud-0rsay 91405 Orsay cedx)

abstract: In this lecture, we develop the local Cauchy theory for the gravity water waves system, for rough initial data which do not decay at infinity. We work in the context of L²-based uniformly local Sobolev spaces introduced by Kato. In this context we prove a classical well-posedness result (without loss of derivatives). Our result implies also a local well-posedness result in Hölder spaces (with loss of d⁄2 derivatives).

timetable:
Thu 4 Jul, 16:00 - 16:50, Aula Dini
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