Dynamics of Partial Differential Equations
Volume 4 (2007)
Stability of spectral eigenspaces in nonlinear Schrödingerequations
Pages: 129 – 141
We consider the time-dependent non linear Schrödinger equations with a double well potential. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear operator is almost invariant for any time.
nonlinear Schrödinger equations; almost invariant manifolds
2010 Mathematics Subject Classification
35Bxx, 35K55, 35Q40