Stability of standing waves for nonlinear Schrödinger equations with potentials
Reika Fukuizumi (2003-2004)
Séminaire Équations aux dérivées partielles
Similarity:
Reika Fukuizumi (2003-2004)
Séminaire Équations aux dérivées partielles
Similarity:
M. Colin, Th. Colin, M. Ohta (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Alexander Komech, Andrew Komech (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Hakkaev, Sevdzhan (2003)
Serdica Mathematical Journal
Similarity:
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30. This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type. By applying the abstract results of Grillakis, Shatah and Strauss and detailed spectral analysis, we obtain the existence and stability of the solitary waves. Partially Supported by Grant MM-810/98 of MESC and by Scientefic Research Grant 19/12.03.2003...
Jianqing Chen (2010)
Czechoslovak Mathematical Journal
Similarity:
By deriving a variant of interpolation inequality, we obtain a sharp criterion for global existence and blow-up of solutions to the inhomogeneous nonlinear Schrödinger equation with harmonic potential We also prove the existence of unstable standing-wave solutions via blow-up under certain conditions on the unbounded inhomogeneity and the power of nonlinearity, as well as the frequency of the wave.