Published February 1993
| Version v1
Journal article
On the instability of ground states for a Davey-Stewartson system
Creators
- 1. Dept. de Matematica Aplicada, Inst. de Matematica, Univ. Federal do Rio de Janeiro (Brazil)
Description
In this work we study the instability properties of ground-states for the equation iut+Δu+bE1(vertical strokeuvertical stroke2)u-avertical strokeuvertical strokeαu=0 in R2 and R3. We prove that the set Ωφ={eiθφ(.+yvertical strokeθelement ofR, yelement ofRN} (where φ is a ground-state) is unstable by the flow of this equation provided a(α-2)≤0. (orig./HSI)
Additional details
Publishing Information
- Journal Title
- Annales de l'I.H.P. Physique Theorique
- Journal Volume
- 58
- Journal Issue
- 1
- Journal Page Range
- p. 85-104.
- ISSN
- 0246-0211
- CODEN
- AIPTEO
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- INIS RN
- 24051557
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EUCLIDEAN SPACE; GROUND STATES; INSTABILITY; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; RIEMANN SPACE; SPACE; WAVE EQUATIONS