Time decay of finite energy solutions of the non linear Klein-Gordon and Schrödinger equations
Ginibre, J. ; Velo, G.
Annales de l'I.H.P. Physique théorique, Tome 43 (1985), p. 399-442 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPA_1985__43_4_399_0,
     author = {Ginibre, Jean and Velo, Giorgio},
     title = {Time decay of finite energy solutions of the non linear Klein-Gordon and Schr\"odinger equations},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {43},
     year = {1985},
     pages = {399-442},
     mrnumber = {824083},
     zbl = {0595.35089},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1985__43_4_399_0}
}

Ginibre, J.; Velo, G. Time decay of finite energy solutions of the non linear Klein-Gordon and Schrödinger equations. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) pp. 399-442. http://gdmltest.u-ga.fr/item/AIHPA_1985__43_4_399_0/

[1] J. Bergh, J. Löfström, Interpolation Spaces, Springer, Berlin, 1976. | MR 482275 | Zbl 0344.46071

[2] M.S. Birman, M.Z. Solomjak, Vest. LSU, t. 24, 1969 ; translation : Vest. LSU Math., t. 2, 1975, p. 9-27. | MR 246163

[3] P. Brenner, Math. Scand., t. 51, 1982, p. 333-360. | MR 690536 | Zbl 0517.35011

[4] P. Brenner, Math. Z., t. 186, 1984, p. 383-391. | MR 744828 | Zbl 0524.35084

[5] P. Brenner, J. Diff. Eq., t. 56, 1985, p. 310-344. | MR 780495 | Zbl 0513.35066

[6] P. Brenner, private communication.

[7] J. Ginibre, G. Velo, J. Funct. Anal., t. 32, 1979, p. 1-32. | MR 533219 | Zbl 0396.35028

[8] J. Ginibre, G. Velo, J. Funct. Anal., t. 32, 1979, p. 33-71. | MR 533219 | Zbl 0396.35029

[9] J. Ginibre, G. Velo, Ann. IHP (Anal. non lin.), t. 2, 1985, p. 309-327. | Numdam | MR 801582 | Zbl 0586.35042

[10] J. Ginibre, G. Velo, Math. Z., t. 189, 1985, p. 487-505. | MR 786279 | Zbl 0549.35108

[11] J. Ginibre, G. Velo, J. Math. Pur. Appl., in press.

[12] L. Hörmander, The analysis of linear partial differential operators I, Springer, Berlin, 1983. | MR 705278 | Zbl 0521.35001

[13] J.E. Lin, W. Strauss, J. Funct. Anal., t. 30, 1978, p. 245-263. | MR 515228 | Zbl 0395.35070

[14] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod and Gauthier-Villars, Paris, 1969. | MR 259693 | Zbl 0189.40603

[15] C. Morawetz, W. Strauss, Comm. Pure Appl. Math., t. 25, 1972, p. 1-31. | MR 303097 | Zbl 0228.35055

[16] H. Pecher, Math. Z., t. 136, 1974, p. 67-92. | MR 340825 | Zbl 0269.35059

[17] H. Pecher, Math. Z., t. 185, 1984, p. 245-263.

[18] H. Pecher, J. Funct. Anal., t. 63, 1985, p. 101-122. | MR 795519 | Zbl 0588.35061

[19] W. Strauss, J. Funct. Anal., t. 41, 1981, p. 110-133. | MR 614228 | Zbl 0466.47006

[20] W. Strauss, J. Funct. Anal., t. 43, 1981, p. 281-293. | MR 636702 | Zbl 0494.35068

[21] Y. Tsutsumi, Global existence and asymptotic behaviour of solutions for nonlinear Schrödinger equations, Thesis, Tokyo, 1984.

[22] Y. Tsutsumi, Ann. IHP (Phys. Theor.), t. 43, 1985, p. 321-347. | Numdam | MR 824843 | Zbl 0612.35104

[23] M. Tsutsumi, J. Math. Soc. Japan, t. 35, 1983, p. 521-538. | MR 702775 | Zbl 0554.35095

[24] M. Tsutsumi, N. Hayashi, Scattering of solutions of nonlinear Klein-Gordon Equations in higher space dimensions. Nonlinear PDE '83 Proceedings, Lecture Notes in numerical and applied analysis, Vol. 6, North-Holland. | MR 839278 | Zbl 0566.35078