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Long time energy transfer in the random Schrodinger equation
Long time energy transfer random Schrodinger equation
2015/7/14
We consider the long time behavior of solutions of the d-dimensional linear Boltzmann equation that arises in the weak coupling limit for the Schrodinger equation with a time-dependent random potentia...
In this paper we consider the following nonlinear Schr\"{o}dinger equation: iu_t+Δu+|u|~2u=0 in R~3×R_+,u(0)=u_0∈H~2(R~3). First we give a sufficient condition on the initial data which guarantees the...