Eigenvalues of zero energy in the linearized NLS problem

Journal of Mathematical Physics

Volumn 47, Issue 6, 2006, Pages

  Vougalter, Vitali ^a   Pelinovsky, Dimitry ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745697454     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2203233     Document Type: Article

References (7)

1. D. E. Pelinovsky, "Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations," Proc. R. Soc. London, Ser. A 461, 783-812 (2005).
2. S. Cuccagna, D. Pelinovsky, and V. Vougalter, "Spectra of positive and negative energies in the linearized NLS problem," Commun. Pure Appl. Math. 58, 1-29 (2005).
3. T. Kapitula, P. Kevrekidis, and B. Sandstede, "Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems," Physica D 195, 263-282 (2004).
4. R. S. MacKay, "Stability of equilibria of Hamiltonian systems," in Hamiltonian Dynamical Systems, edited by R. S. MacKay and J. Meiss (Adam Hilger, Bristol, 1987), pp. 137-153.
5. M. Grillakis, "Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system," Commun. Pure Appl. Math. 43, 299-333 (1990).
6. M. Reed and B. Simon, Methods of Modern Mathematical Physics IV: Analysis of Operators (Academic, New York, 1978).
7. T. Kato, Perturbation Theory for Linear Operators (Springer-Verlag, Berlin, 1976).