Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T)
نویسندگان
چکیده
منابع مشابه
Almost Surely Local Well-posedness of the Cubic Nonlinear Schrödinger Equation below L²(t)
We consider the local well-posedness of the periodic cubic nonlinear Schrödinger equation with initial data below L(T). In particular, we prove that it is locally well-posed almost surely for the initial data in the support of the Gaussian measures on H(T) for each s > − 1 8 .
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2012
ISSN: 0012-7094
DOI: 10.1215/00127094-1507400