Artículo
Borgna, J.P. "Stability of periodic nonlinear Schrödinger equation" (2008) Nonlinear Analysis, Theory, Methods and Applications. 69(12):4252-4265
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Abstract:
In this manuscript, we study the existence of steady states of the periodic nonlinear Schrödinger equation in dimension one and we prove the stability of the solutions with initial data close to the ground state profile, when the potential parameter σ is small enough. © 2007 Elsevier Ltd. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Stability of periodic nonlinear Schrödinger equation |
| Autor: | Borgna, J.P. |
| Filiación: | Dpto. Mat., FCEyN-Univ. de Buenos Aires, Ciudad Univ. Pb. I, Argentina |
| Palabras clave: | Ground states existence; Orbital stability; Perturbation method; Ground state; Dinger equations; Ground states existence; Nonlinear; Orbital stability; Periodic; Perturbation method; Potential parameters; Steady states; Nonlinear equations |
| Año: | 2008 |
| Volumen: | 69 |
| Número: | 12 |
| Página de inicio: | 4252 |
| Página de fin: | 4265 |
| DOI: | http://dx.doi.org/10.1016/j.na.2007.11.016 |
| Título revista: | Nonlinear Analysis, Theory, Methods and Applications |
| Título revista abreviado: | Nonlinear Anal Theory Methods Appl |
| ISSN: | 0362546X |
| CODEN: | NOAND |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v69_n12_p4252_Borgna |
Referencias:
- Ballentine, L.E., (1998) Quantum Mechanic, A Modern Development, , World Scientific Publishing
- Bona, J., On the stability of solitary waves (1975) Proc. R. Soc. Lond., A 344, pp. 363-374
- J. Bourgain, Fourier transform restriction phenomena for certain lattice subset and applications to non-linear evolution equations, Institute des Hautes Etudes Scientifiques, 1992; Cazenave, T., (1990) Textos de Métodos Matemáticos, 26. , Universidad de Rio de Janeiro
- Cazenave, T., Haraux, A., (1998) An Introduction to Semilinear Evolutions Equations, , Oxford University Press, New York
- Ginibre, J., Velo, G., On a class of non linear Schrödinger equations. The Cauchy problem, general case (1979) J. Funct. Anal., 32, pp. 1-32
- Kato, T., (1976) Perturbation Theory for Linear Operator, , Springer Verlag
- Kato, T., On nonlinear Schrödinger equations (1987) Ann. Inst. Herri Poincare, 46 (1), pp. 113-129
- Kavian, O., A remark on the blowing-up of solutions to the Cauchy problem for nonlinear Schrödinger equations (1987) Trans. AMS, 299 (1), pp. 193-203
- Strauss, W.A., Existence of solitary waves in higher dimensions (1977) Comm. Math. Phys., 55, pp. 149-162
- Weinstein, M., Lyapunov stability of ground states of nonlinear dispersive evolutions equations (1986) Comm. Pure Appl Math., 39, pp. 51-68
Citas:
---------- APA ----------
(2008) . Stability of periodic nonlinear Schrödinger equation. Nonlinear Analysis, Theory, Methods and Applications, 69(12), 4252-4265.http://dx.doi.org/10.1016/j.na.2007.11.016
---------- CHICAGO ----------
Borgna, J.P. "Stability of periodic nonlinear Schrödinger equation" . Nonlinear Analysis, Theory, Methods and Applications 69, no. 12 (2008) : 4252-4265.http://dx.doi.org/10.1016/j.na.2007.11.016
---------- MLA ----------
Borgna, J.P. "Stability of periodic nonlinear Schrödinger equation" . Nonlinear Analysis, Theory, Methods and Applications, vol. 69, no. 12, 2008, pp. 4252-4265.http://dx.doi.org/10.1016/j.na.2007.11.016
---------- VANCOUVER ----------
Borgna, J.P. Stability of periodic nonlinear Schrödinger equation. Nonlinear Anal Theory Methods Appl. 2008;69(12):4252-4265.http://dx.doi.org/10.1016/j.na.2007.11.016
