Abstract:
The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation.
Registro:
Documento: |
Artículo
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Título: | Weak solutions for the derivative nonlinear Schrödinger equation |
Autor: | Rial, D.F. |
Filiación: | Dpto De Matematica Fac De CS, Exactas Y Naturales, UBA Pab I, 1428 Capital, Argentina
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Palabras clave: | Derivative nonlinear Schrödinger equation; Nonlocal dissipation; Smoothing effect; Weak solutions; Convergence of numerical methods; Initial value problems; Mathematical transformations; Theorem proving; Shrodinger equations; Nonlinear equations |
Año: | 2002
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Volumen: | 49
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Número: | 2
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Página de inicio: | 149
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Página de fin: | 158
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DOI: |
http://dx.doi.org/10.1016/S0362-546X(00)00217-0 |
Título revista: | Nonlinear Analysis, Theory, Methods and Applications
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Título revista abreviado: | Nonlinear Anal Theory Methods Appl
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ISSN: | 0362546X
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CODEN: | NOAND
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v49_n2_p149_Rial |
Referencias:
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- Kaup, D.J., Newell, A.C., An exact solution for a derivative nonlinear Schrödinger equation (1978) J. Math Phys., 19, pp. 798-801
- Kenig, C.E., Ponce, G., Vega, L., Well-posedness and scattering results for the Korteweg-de Vries equation (1991) J. Amer. Math. Soc., 4, pp. 323-347
- Kenig, C.E., Ponce, G., Vega, L., Small solutions to nonlinear Schrödinger equation (1993) Ann. Inst. Henri Poincaré, Anal. nonlinéaire, 10, pp. 255-288
- Lions, J.L., (1969) Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, , Gauthier-Villars, Paris
- Mjølhus, E., On the modulational instability of hydromagnetic waves parallel to the magnetic field (1976) J. Plasma Phys., 16, pp. 321-334
- Ponce, G., On the global well-posedness of the Benjamin-Ono equation (1991) Diff. Int. Eq., 4, pp. 527-542
Citas:
---------- APA ----------
(2002)
. Weak solutions for the derivative nonlinear Schrödinger equation. Nonlinear Analysis, Theory, Methods and Applications, 49(2), 149-158.
http://dx.doi.org/10.1016/S0362-546X(00)00217-0---------- CHICAGO ----------
Rial, D.F.
"Weak solutions for the derivative nonlinear Schrödinger equation"
. Nonlinear Analysis, Theory, Methods and Applications 49, no. 2
(2002) : 149-158.
http://dx.doi.org/10.1016/S0362-546X(00)00217-0---------- MLA ----------
Rial, D.F.
"Weak solutions for the derivative nonlinear Schrödinger equation"
. Nonlinear Analysis, Theory, Methods and Applications, vol. 49, no. 2, 2002, pp. 149-158.
http://dx.doi.org/10.1016/S0362-546X(00)00217-0---------- VANCOUVER ----------
Rial, D.F. Weak solutions for the derivative nonlinear Schrödinger equation. Nonlinear Anal Theory Methods Appl. 2002;49(2):149-158.
http://dx.doi.org/10.1016/S0362-546X(00)00217-0