Published October 1, 2019 | Version v1
Journal article Metadata-only

A refined stability result for standing waves of the Schrödinger–Maxwell system

Creators

  • 1. University of Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, F-33400, Talence (France)
  • 2. Faculty of Science, Department of Mathematics, Kyoto Sangyo University, Motoyama, Kamigamo, Kita-ku, Kyoto-City, 603-8555 (Japan)

Description

In this paper, we are interested in standing waves of the nonlinear Schrödinger equation coupled with the Maxwell equation. Our aim is to formulate the orbital stability of standing waves in the full gauge invariant form. For this purpose, we study a new constraint minimization problem. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1361-6544/ab248c

Additional details

Identifiers

DOI
10.1088/1361-6544/ab248c;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
32
Journal Issue
10
Journal Page Range
p. 3695-3714
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51068886
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GAUGE INVARIANCE; LIMITING VALUES; MAXWELL EQUATIONS; MINIMIZATION; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; STABILITY; STANDING WAVES
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS