Journal
ANNALS OF MATHEMATICS
Volume 186, Issue 2, Pages 607-640Publisher
Princeton Univ, Dept Mathematics
DOI: 10.4007/annals.2017.186.2.5
Keywords
restriction; Schrodinger equation; Schrodinger maximal function; polynomial partitioning; decoupling
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We show that lim(t -> 0) e(it Delta) f(x) = f(x) almost every where for all f is an element of H-s (R-2) provided that s > 1/3. This result is sharp up to the endpoint. The proof uses polynomial partitioning and decoupling.
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