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A nonlinear Poisson formula for the Schrodinger operator

327   0   0.0 ( 0 )
 نشر من قبل Remi Carles
 تاريخ النشر 2007
  مجال البحث
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We prove a nonlinear Poisson type formula for the Schrodinger 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, energy-critical nonlinearities are allowed.



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