Conformal invariance and time decay for non linear wave equations. I
Annales de l'I.H.P. Physique théorique (1987)
- Volume: 47, Issue: 3, page 221-261
- ISSN: 0246-0211
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topGinibre, J., and Velo, G.. "Conformal invariance and time decay for non linear wave equations. I." Annales de l'I.H.P. Physique théorique 47.3 (1987): 221-261. <http://eudml.org/doc/76378>.
@article{Ginibre1987,
author = {Ginibre, J., Velo, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Cauchy problem; semilinear; time decay; power-type nonlinearities; infinite energy; finite conformal charge; conformal conservation law; Sobolev type inequalities; invariance},
language = {eng},
number = {3},
pages = {221-261},
publisher = {Gauthier-Villars},
title = {Conformal invariance and time decay for non linear wave equations. I},
url = {http://eudml.org/doc/76378},
volume = {47},
year = {1987},
}
TY - JOUR
AU - Ginibre, J.
AU - Velo, G.
TI - Conformal invariance and time decay for non linear wave equations. I
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 47
IS - 3
SP - 221
EP - 261
LA - eng
KW - Cauchy problem; semilinear; time decay; power-type nonlinearities; infinite energy; finite conformal charge; conformal conservation law; Sobolev type inequalities; invariance
UR - http://eudml.org/doc/76378
ER -
References
top- [1] R.A. Adams, Sobolev spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
- [2] N.N. Bogoliubov, D.V. Shirkov, Introduction à la Théorie Quantique des Champs, Dunod, Paris, 1960.
- [3] J. Ginibre, G. Velo, J. Funct. Anal., t. 32, 1979, p. 33-71. Zbl0396.35029MR533219
- [4] J. Ginibre, G. Velo, Commun. Math. Phys., t. 82, 1981, p. 1-28. Zbl0486.35048MR638511
- [5] J. Ginibre, G. Velo, unpublished.
- [6] J. Ginibre, G. Velo, Math. Z., t. 189, 1985, p. 487-505. Zbl0549.35108MR786279
- [7] J. Ginibre, G. Velo, Ann. I. H. P. (Anal. non lin.), in press.
- [8] R.T. Glassey, Math. Z., t. 177, 1981, p. 323-340. Zbl0438.35045MR618199
- [9] R.T. Glassey, Math. Z., t. 178, 1981, p. 233-261. Zbl0451.35039MR631631
- [10] R.T. Glassey, H. Pecher, Manuscripta Math., t. 38, 1982, p. 387-400. Zbl0504.35066MR667924
- [11] N. Hayashi, Y. Tsutsumi, Remarks on the Scattering problem for non linear Schrödinger equations in Proceedings of UAB Conference on Differential Equations and Mathematical Physics, Springer, Berlin, 1986. Zbl0633.35059
- [12] F. John, Manuscripta Math., t. 28, 1979, p. 235-268. Zbl0406.35042MR535704
- [13] T. Kato, Comm. Pure Appl. Math., t. 33, 1980, p. 501-505. Zbl0421.35053MR575735
- [14] S. Klainermann, Arch. Ratl. Mech. Anal., t. 78, 1982, p. 73-98. Zbl0502.35015MR654553
- [15] S. Klainermann, G. Ponce, Comm. Pure Appl. Math., t. 36, 1983, p. 133-141. Zbl0509.35009MR680085
- [16] S. Klainermann, Comm. Pure Appl. Math., t. 38, 1985, p. 321-332. Zbl0635.35059
- [17] B. Marshall, W. Strauss, S. Wainger, J. Math. Pure Appl., t. 59, 1980, p. 417-440. Zbl0457.47040MR607048
- [18] K. Mochizuki, T. Motai, J. Math. Kyoto Univ., t. 25, 1985, p. 703-715. Zbl0605.35069MR810974
- [19] K. Mochizuki, T. Motai, The scattering theory for the non linear wave equation with small data. II, preprint, 1986. Zbl0623.35049MR882392
- [20] H. Pecher, Math. Z., t. 150, 1976, p. 159-183. Zbl0318.35054MR435604
- [21] H. Pecher, J. Funct. Anal., t. 46, 1982, p. 221-229. Zbl0482.35057MR660186
- [22] H. Pecher, J. Diff. Eq., t. 46, 1982, p. 103-151. Zbl0465.35065MR677586
- [23] I.E. Segal, Ann. Math., t. 78, 1963, p. 339-364. Zbl0204.16004MR152908
- [24] J. Shatah, J. Diff. Eq., t. 46, 1982, p. 409-425. Zbl0518.35046MR681231
- [25] T. Sideris, J. Diff. Eq., t. 52, 1984, p. 378-406. Zbl0555.35091MR744303
- [26] T. Sideris, private communication.
- [27] W. Strauss, J. Funct. Anal., t. 2, 1968, p. 409-457. Zbl0182.13602
- [28] W. Strauss, J. Funct. Anal., t. 41, 1981, p. 110-133. Zbl0466.47006MR614228
- [29] R. Strichartz, Trans. Amer. Math. Soc., t. 148, 1970, p. 461-470. Zbl0199.17502MR256219
- [30] Y. Tsutsumi, Thesis, University of Tokyo, 1985.
- [31] Y. Tsutsumi, Ann. I. H. P. (Phys. Théor.), t. 43, 1985, p. 321-347. Zbl0612.35104MR824843
- [32] W. Von Wahl, J. Funct. Anal., t. 9, 1972, p. 490-495. Zbl0229.35054
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