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math.AP2020
A note on the uniqueness from sets of positive measure for time dependent parabolic operators
Nicolas Burq, Claude Zuily
The purpose of this short note is to show how it is possible to combine existing results in the literature to get the unique continuation from sets of positive measure for time dep…
math.AP2020
Cauchy theory for the water waves system in an analytic framework
Thomas Alazard, Nicolas Burq, Claude Zuily
In this paper we consider the Cauchy problem for gravity water waves, in a domain with a flat bottom and in arbitrary space dimension. We prove that if the data are of size $\varep…