A poisson formula for the Schrödinger operator

Rémi Carles, Tohru Ozawa

研究成果: Article査読

抄録

We prove a Poisson type formula for the Schrödinger group. Such a formula had been derived in a previous article by the authors, as a consequence of the study of the asymptotic behavior of nonlinear wave operators for small data. In this note, we propose a direct proof, and extend the range allowed for the power of the nonlinearity to the set of all short range nonlinearities. Moreover, H 1-critical nonlinearities are allowed.

本文言語English
ページ(範囲)475-483
ページ数9
ジャーナルJournal of Fourier Analysis and Applications
14
3
DOI
出版ステータスPublished - 2008 6
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)
  • Applied Mathematics

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