Invariance of white noise for KdV on the line
نویسندگان
چکیده
منابع مشابه
Invariance of the White Noise for Kdv
We prove the invariance of the mean 0 white noise for the periodic KdV. First, we show that the Besov-type space bbp,∞, sp < −1, contains the support of the white noise. Then, we prove local well-posedness in bbp,∞ for p = 2+, s = − 1 2 + such that sp < −1. In establishing the local well-posedness, we use a variant of the Bourgain spaces with a weight. This provides an analytical proof of the i...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2020
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-020-00964-9