| 概要 | Abstract: We discuss an application of ideas of Poincare-Dulac normal
form reductions to construct solutions of the cubic NLS on T with
initial data in L^2. This involves an infinite iteration scheme to
establish an energy estimate, where we apply differentiation by parts
in an systematic manner and we use (ordered) trees to encode the
generations of frequencies. As a consequence, we establish
unconditional well-posedness of the cubic NLS in H^s, s \geq 1/6.
This is a joint work with Zihua Guo (IAS/ Peking University) and
Soonsik Kwon (KAIST).
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