A nonlinear Poisson formula for the Schrodinger operator

Details A nonlinear Poisson formula for the Schrodinger operator A nonlinear Poisson formula for the Schrodinger operator

2007-09-10

arxiv.org/abs/0709.1385v1

Mathematics

Analysis of PDEs

7 pages

Scientific paper

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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