Schrödinger equations with a spatially decaying nonlinearity: Existence and stability of standing waves

By F. Genoud, Charles A. Stuart. 2008

160 citations recorded by the source corpus.

Keywords: nonlinear Schrodinger equation ; orbital stability ; standing wave Reference ANA-ARTICLE-2008-001doi:10.3934/dcds.2008.21.137View record in Web of Science Record created on 2008-12-10, modified on 2016-08-08

Subfields: Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3d9f87c7a27a8e70fb154c61c00055682591b054

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Van Duong Dinh
2. Carlos M. Guzm'an

In Mathematical Physics

1. Van Duong Dinh
2. Carlos M. Guzm'an

Citations in the corpus

• On well posedness for the inhomogeneous nonlinear Schr\"odinger equation (2016, methodology): “However, the abstract theory developed by Cazenave and later used by GenoudStuart [13] to show well-posedness for (1.”
• Blowup ofH1solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation (2017, methodology): “Note that the results of Guzman [18] and Dinh [7] about the local well-posedness of (INLS) in H1 are a bit weaker than the one of Genoud-Stuart [13].”