Local existence and uniqueness for the frictional Newton-Schroedinger equation in three dimensions

We prove local existence and uniqueness for the Newton-Schroedinger equation in three dimensions. Further we show that the blow-up alternative holds true as well as the continuous dependence of the solution w.r.t. the initial data.

Saved in:
Bibliographic Details
Published in:arXiv.org 2009-05
Main Authors: BenAmor, Ali, Blanchard, Philippe
Format: Article
Language:English
Subjects:
Schrodinger equation
Uniqueness
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove local existence and uniqueness for the Newton-Schroedinger equation in three dimensions. Further we show that the blow-up alternative holds true as well as the continuous dependence of the solution w.r.t. the initial data.
ISSN:2331-8422