A nonlinear Poisson formula for the Schrodinger operator
Analysis of PDEs
2007-09-11 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.0709.1385,
title = {A nonlinear Poisson formula for the Schrodinger operator},
author = {Rémi Carles and Tohru Ozawa},
journal= {arXiv preprint arXiv:0709.1385},
year = {2007}
}
Comments
7 pages