On the focusing generalized Hartree equation

In this paper we give a review of the recent progress on the focusing generalized Hartree equation, which is a nonlinear Schrodinger-type equation with the nonlocal nonlinearity, expressed as a convolution with the Riesz potential. We describe the local well-posedness in H1 and Hs settings, discuss...

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Bibliographic Details
Main Authors: Anudeep Kumar Arora, Svetlana Roudenko, Kai Yang
Format: Article
Language:English
Published: Western Libraries 2020-12-01
Series:Mathematics in Applied Sciences and Engineering
Subjects:
Online Access:https://ojs.lib.uwo.ca/index.php/mase/article/view/10855