A nonlinear Poisson formula for the Schrodinger operator

Date
Authors
Carles, Rémi
Ozawa, Tohru
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Comment: 7 pages
Keywords
Mathematics - Analysis of PDEs, Mathematics - Functional Analysis
Citation
Collections