Scattering in the nonlinear Lamb system

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 11, 2009, Pages 1005-1010

  Komech, A I ^a,b   Merzon, A E ^c  

^a UNIVERSITY OF VIENNA   (Austria)

^b INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^c UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; QUANTUM THEORY;

ASYMPTOTICS; DISPERSIVE WAVES; FINITE ENERGY; GLOBAL ENERGY; LONG-TIME ASYMPTOTICS; NON-LINEAR OSCILLATORS; STATIONARY STATE;

DISPERSION (WAVES);

EID: 59649098214     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.01.054     Document Type: Article

References (28)

1. Bensoussan A., Iliine C., and Komech A. Arch. Ration. Mech. Anal. 165 (2002) 317
2. Buslaev V., Komech A., Kopylova E., and Stuart D. Commun. Partial Diff. Equ. 33 4 (2008) 669. math-ph/0702013
3. Buslaev V.S., and Perelman G.S. St. Petersburg Math. J. 4 (1993) 1111
4. Buslaev V.S., and Sulem C. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20 3 (2003) 419
5. Cuccagna S. A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. In: D'Ancona P., et al. (Ed). Dispersive Nonlinear Problems in Mathematical Physics. Quaderni di Matematica vol. 15 (2004) 21-57
6. Freidlin M., and Komech A.I. J. Math. Phys. 47 4 (2006) 043301
7. Imaikin V., Komech A., and Markowich P. J. Math. Phys. 44 3 (2003) 1202
8. Imaikin V., Komech A., and Spohn H. Russ. J. Math. Phys. 9 4 (2002) 428
9. Imaikin V., Komech A., and Spohn H. J. Discrete Contin. Dyn. Systems 10 1-2 (2003) 387
10. Imaikin V., Komech A., and Spohn H. Monatsh. Math. 142 1-2 (2004) 143
11. Imaikin V., Komech A., and Vainberg B. On scattering of solitons for wave equation coupled to a particle. Proceedings of the International Conference "Probability and Mathematical Physics". Montreal, Canada, 2006. CMR Proceedings and Lecture Notes (2006) 249-273
12. Imaikin V., Komech A., and Vainberg B. Commun. Math. Phys. 268 2 (2006) 321
13. Keller J.B., and Bonilla L.L. Stat. Phys. 42 5-6 (1986) 1115
14. Komech A.I. Moscow Univ. Math. Bull. 46 (1991) 34
15. Komech A.I. J. Math. Anal. Appl. 196 (1995) 384
16. Komech A. Dokl. Math. 53 2 (1996) 208
17. Komech A. Russ. Math. Surv. 55 1 (2000) 43
18. Komech A. On Global Attractors of Hamilton Nonlinear Wave Equations, Lecture Notes of the Max Planck Institute for Mathematics in the Sciences, LN 24/2005, Leipzig, 2005. http://www.mis.mpg.de/preprints/ln/lecturenote-2405-abstr.html
19. Komech A., and Kopylova E. Russian J. Math. Phys. 13 2 (2006) 158
20. Komech A., Kopylova E., and Stuart D. On asymptotic stability of solitary waves for Schödinger equation coupled to nonlinear oscillator II. arXiv:0807.1878 SIAM J. Math. Anal. (2008), in press
21. Lamb H. Proc. London Math. Soc. 32 (1900) 208
22. Merzon A., and Taneco M. Phys. Lett. A 372 (2008) 4761
23. Morawetz C.S., and Strauss W.A. Commun. Pure Appl. Math. 25 (1972) 1
24. Reed M., and Simon B. Methods of Modern Mathematical Physics, III (1979), Academic Press
25. Soffer A., and Weinstein M.I. J. Diff. Equ. 98 (1992) 376
26. Soffer A., and Weinstein M.I. Invent. Math. 136 1 (1999) 9
27. Strauss W.A. J. Funct. Anal. 41 (1981) 110
28. Strauss W.A. J. Funct. Anal. 43 (1981) 281