Conformal invariance and time decay for non linear wave equations. I

 Access to full text

 Full (PDF)

1. [1] R.A. Adams, Sobolev spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
2. [2] N.N. Bogoliubov, D.V. Shirkov, Introduction à la Théorie Quantique des Champs, Dunod, Paris, 1960. 
3. [3] J. Ginibre, G. Velo, J. Funct. Anal., t. 32, 1979, p. 33-71. Zbl0396.35029MR533219
4. [4] J. Ginibre, G. Velo, Commun. Math. Phys., t. 82, 1981, p. 1-28. Zbl0486.35048MR638511
5. [5] J. Ginibre, G. Velo, unpublished. 
6. [6] J. Ginibre, G. Velo, Math. Z., t. 189, 1985, p. 487-505. Zbl0549.35108MR786279
7. [7] J. Ginibre, G. Velo, Ann. I. H. P. (Anal. non lin.), in press. 
8. [8] R.T. Glassey, Math. Z., t. 177, 1981, p. 323-340. Zbl0438.35045MR618199
9. [9] R.T. Glassey, Math. Z., t. 178, 1981, p. 233-261. Zbl0451.35039MR631631
10. [10] R.T. Glassey, H. Pecher, Manuscripta Math., t. 38, 1982, p. 387-400. Zbl0504.35066MR667924
11. [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. [12] F. John, Manuscripta Math., t. 28, 1979, p. 235-268. Zbl0406.35042MR535704
13. [13] T. Kato, Comm. Pure Appl. Math., t. 33, 1980, p. 501-505. Zbl0421.35053MR575735
14. [14] S. Klainermann, Arch. Ratl. Mech. Anal., t. 78, 1982, p. 73-98. Zbl0502.35015MR654553
15. [15] S. Klainermann, G. Ponce, Comm. Pure Appl. Math., t. 36, 1983, p. 133-141. Zbl0509.35009MR680085
16. [16] S. Klainermann, Comm. Pure Appl. Math., t. 38, 1985, p. 321-332. Zbl0635.35059
17. [17] B. Marshall, W. Strauss, S. Wainger, J. Math. Pure Appl., t. 59, 1980, p. 417-440. Zbl0457.47040MR607048
18. [18] K. Mochizuki, T. Motai, J. Math. Kyoto Univ., t. 25, 1985, p. 703-715. Zbl0605.35069MR810974
19. [19] K. Mochizuki, T. Motai, The scattering theory for the non linear wave equation with small data. II, preprint, 1986. Zbl0623.35049MR882392
20. [20] H. Pecher, Math. Z., t. 150, 1976, p. 159-183. Zbl0318.35054MR435604
21. [21] H. Pecher, J. Funct. Anal., t. 46, 1982, p. 221-229. Zbl0482.35057MR660186
22. [22] H. Pecher, J. Diff. Eq., t. 46, 1982, p. 103-151. Zbl0465.35065MR677586
23. [23] I.E. Segal, Ann. Math., t. 78, 1963, p. 339-364. Zbl0204.16004MR152908
24. [24] J. Shatah, J. Diff. Eq., t. 46, 1982, p. 409-425. Zbl0518.35046MR681231
25. [25] T. Sideris, J. Diff. Eq., t. 52, 1984, p. 378-406. Zbl0555.35091MR744303
26. [26] T. Sideris, private communication. 
27. [27] W. Strauss, J. Funct. Anal., t. 2, 1968, p. 409-457. Zbl0182.13602
28. [28] W. Strauss, J. Funct. Anal., t. 41, 1981, p. 110-133. Zbl0466.47006MR614228
29. [29] R. Strichartz, Trans. Amer. Math. Soc., t. 148, 1970, p. 461-470. Zbl0199.17502MR256219
30. [30] Y. Tsutsumi, Thesis, University of Tokyo, 1985. 
31. [31] Y. Tsutsumi, Ann. I. H. P. (Phys. Théor.), t. 43, 1985, p. 321-347. Zbl0612.35104MR824843
32. [32] W. Von Wahl, J. Funct. Anal., t. 9, 1972, p. 490-495. Zbl0229.35054

1. J. Ginibre, G. Velo, Conformal invariance and time decay for non linear wave equations. II