Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in ℝ 2

Masahito Ohta

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 63, Issue: 1, page 111-117
  • ISSN: 0246-0211

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Ohta, Masahito. "Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in $\mathbb {R}^2$." Annales de l'I.H.P. Physique théorique 63.1 (1995): 111-117. <http://eudml.org/doc/76684>.

@article{Ohta1995,
author = {Ohta, Masahito},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {standing wave; blow-up solutions},
language = {eng},
number = {1},
pages = {111-117},
publisher = {Gauthier-Villars},
title = {Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in $\mathbb \{R\}^2$},
url = {http://eudml.org/doc/76684},
volume = {63},
year = {1995},
}

TY - JOUR
AU - Ohta, Masahito
TI - Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in $\mathbb {R}^2$
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 63
IS - 1
SP - 111
EP - 117
LA - eng
KW - standing wave; blow-up solutions
UR - http://eudml.org/doc/76684
ER -

References

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  1. [1] H. Berestycki and T. Cazenave, Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires, C. R. Acad. Sci. Paris, vol. 293, 1981, pp. 489-492. Zbl0492.35010MR646873
  2. [2] R. Cipolatti, On the instability of ground states for a Davey-Stewarston system, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 58, 1993, pp. 85-104. Zbl0784.35106MR1208793
  3. [3] A. Davey and K. Stewartson, On three-dimensional packets of surface waves, Proc. R. Soc. London A, Vol. 338, 1974, pp. 101-110. Zbl0282.76008MR349126
  4. [4] J.M. Ghidaglia and J.C. Saut, On the initial value problem for the Davey-Stewartson systems, Nonlinearity, Vol. 3, 1990, pp. 475-506. Zbl0727.35111MR1054584
  5. [5] M. Ohta, Instability of standing waves for the generalized Davey-Stewartson system, Ann. Inst. Henri Poincaré, Phys. Théor. (to appear). Zbl0839.35012MR1313361
  6. [6] M. Ohta, Stability and instability of standing waves for the generalized Davey-Stewartson system, Differential and Integral Eqs. (to appear). Zbl0827.35122MR1347979

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