A Nonlinear Poisson Formula for The Schrödinger Operator


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84005

Title:	A Nonlinear Poisson Formula for The Schrödinger Operator
Authors:	Carles, Remi Browse this author
Authors:	Ozawa, Tohru Browse this author
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	855
Start Page:	1
End Page:	7
Abstract:	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, H1-critical nonlinearities are allowed.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69664
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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