Published February 8, 2013
| Version v1
Journal article
Scattering problems for the one-dimensional nonlinear Dirac equation with power nonlinearity
Creators
- 1. Department of Mathematics and Informatics, Chiba University, 263-8522 (Japan)
Description
We study scattering problems for the one-dimensional nonlinear Dirac equation (∂t + α∂x + iβ)φ = λ|φ|p−1φ. We prove that if p > 3 (resp. p > 3 + 1/6), then the wave operator (resp. the scattering operator) is well-defined on some 0-neighborhood of a weighted Sobolev space.
Availability note (English)
Available from http://dx.doi.org/10.1088/1742-6596/410/1/012035Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. Conference Series (Online)
- Journal Volume
- 410
- Journal Issue
- 1
- Journal Page Range
- [4 p.]
- ISSN
- 1742-6596
Conference
- Title
- International conference on mathematical modelling in physical sciences
- Acronym
- IC-MSQUARE 2012
- Dates
- 3-7 Sep 2012
- Place
- Budapest (Hungary)
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44069824
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- DIRAC EQUATION; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; QUANTUM OPERATORS; SCATTERING; SPACE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS