セミナー

発表言語 英語
開催日 2011年12月27日 15時30分
終了日 2011年12月27日 17時00分
開催場所京都大学理学部3号館 (数学教室) 552号室
セミナー名NLPDEセミナー
タイトル Invariant weighted Wiener measure for the derivative NLS 
分野 解析
講演者名Tadahiro Oh
講演者所属Princeton University
概要In this talk, we consider the derivative NLS (DNLS) on T.
In particular, we construct a weighted Wiener measure, globally
defined flow almost surely with respect to this measure, and finally
invariance of the measure. The basic idea is to follow Bourgain's
argument ('94.) Due to the nature of nonlinearity and known local
well-/ill-posedness results, we consider DNLS under the gauge
transformation, which causes additional difficulty. In particular,
the finite dimensional measures corresponding to the finite
dimensional approximations are no longer invariant. In the end, we
prove "almost" invariance of such finite dimensional measures via
multilinear estimates to achieve our goal. This is a joint work with
A. Nahmod (UMASS), L. Rey-Bellet (UMASS), and G. Sttafilani (MIT).
リンクhttps://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html