Théorie de la diffusion pour l'équation de sinus-Gordon à trois dimensions

Ph. Blanchard; M. Reed

Annales de l'I.H.P. Physique théorique (1977)

  • Volume: 26, Issue: 2, page 163-180
  • ISSN: 0246-0211

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Blanchard, Ph., and Reed, M.. "Théorie de la diffusion pour l'équation de sinus-Gordon à trois dimensions." Annales de l'I.H.P. Physique théorique 26.2 (1977): 163-180. <http://eudml.org/doc/75931>.

@article{Blanchard1977,
author = {Blanchard, Ph., Reed, M.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {fre},
number = {2},
pages = {163-180},
publisher = {Gauthier-Villars},
title = {Théorie de la diffusion pour l'équation de sinus-Gordon à trois dimensions},
url = {http://eudml.org/doc/75931},
volume = {26},
year = {1977},
}

TY - JOUR
AU - Blanchard, Ph.
AU - Reed, M.
TI - Théorie de la diffusion pour l'équation de sinus-Gordon à trois dimensions
JO - Annales de l'I.H.P. Physique théorique
PY - 1977
PB - Gauthier-Villars
VL - 26
IS - 2
SP - 163
EP - 180
LA - fre
UR - http://eudml.org/doc/75931
ER -

References

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  1. [1] I. Segal, The global Cauchy problem for a relativistic scalar field with power interaction. Bull. Soc. Mathématique de France, t. 91, 1963, p. 129-135. Zbl0178.45403MR153967
  2. [2] C. Morawetz et W. Strauss, Decay and scattering of solutions of a non linear relativistic wave equation. Commun. Pure and Applied Math., t. 25, 1972, p. 1-31. Zbl0228.35055MR303097
  3. [3] M. Reed, Abstract non-linear wave equations. Springer lecture notes, n° 507, 1976. Zbl0317.35002MR605679
  4. [4] M. Reed et B. Simon, Methods of Modern Mathematical Physics, Vol. III : Analysis of operators. Academic Press, New York, à paraître. Zbl0405.47007
  5. [5] M. Reed et B. Simon, Methods of Modern Mathematical Physics, Vol. I ; Functional Analysis, Academic Press, New York, 1972. Zbl0242.46001
  6. [6] A. Friedman, Partial differential equations. Holt-Rinehart and Winston, New York, 1969. Zbl0224.35002MR445088
  7. [7] R. Courant et D. Hilbert, Methods of mathematical physics, Vol. II, Interscience, New York, 1962. Zbl0099.29504MR65391
  8. [8] C. Scott, F. Chu, D. Mac Laughlin, The soliton: a new concept in applied science. Proc. I. E. E. E., t. 61, 1973, p. 1443-1448. MR358045
  9. [9] W. Strauss, Non linear scattering theory, dansScattering Theory in Mathematical Physics, édité par J. A. Lavita et J. P. Marchand, Reidel, Holland, 1974, p. 53-78. 
  10. [10] I. Segal, Quantization and dispersion for non-linear relativistic equations. Proc. Conference on Math., Theory Elem. Part. M. I. T. PressCambridge, 1966, p. 79-108. MR217453
  11. [11] M. Reed, Higher order estimates and smoothness of non-linear wave equations. Proc. Amer. Math. Soc., t. 51, 1975, p. 79-85. Zbl0309.35044MR377238
  12. [12] M. Reed et B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis and Self-adjointness, Academic Press, New York, 1975. Zbl0308.47002
  13. [13] I. Segal, Non linear semi-groups. Ann. Math., t. 78, 1963, p. 339-364. Zbl0204.16004MR152908
  14. [14] C. Morawetz et W. Strauss, On a non-linear scattering operator. Comm. Pure Appl. Math., t. 26, 1973, p. 47-54. Zbl0265.35057
  15. [15] F. Browder, On non-linear wave equations. Math. Zeit., t. 80, 1962, p. 249-264. Zbl0109.32102MR147769
  16. [16] W. von Wahl, Klassische Lösungen nichtlinearer Wellengleichungen im Grossen. Math. Zeit., t. 112, 1969, p. 241-279. Zbl0177.36602MR280892

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