A Poisson formula for the Schrodinger operator

نویسندگان

  • Rémi Carles
  • Tohru Ozawa
  • TOHRU OZAWA
چکیده

We prove a nonlinear Poisson type formula for the Schrödinger group. Such a formula had been derived in a previous paper 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-critical nonlinearities are allowed.

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تاریخ انتشار 2017