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STANDING WAVES OF THE DISCRETE NONLINEAR SCHR ¨O DINGER EQUATIONS WITH GROWING POTENTIALS
discrete nonlinear Schr¨odinger equation standing wave variation methods Nehari manifold
2008/11/26
In this paper we investigate the existence of nontrivial standing wave solution of the
discrete nonlinear Schr¨odinger equation with the growing potential at infinity. Firstly
we derive a discrete v...
Fundamental Solution Global in Time for a Class of Schrödinger Equations with Time-Dependent Potentials
Schrö dinger equation fundamental solution Fourier integral operators long-range potentials scattering theory
2008/11/25
Fundamental solution for a Schrödinger equation with a time-dependent potential of
long-range type is constructed. The solution is given as a Fourier integral operator with
a symbol uniformly b...