论文信息 - Strong instability of standing waves for a nonlocal Schrödinger equation

Strong instability of standing waves for a nonlocal Schrödinger equation

Abstract Variational methods are used to prove that the solutions of the nonlocal Schrodinger equation i φ t + △ φ + φ | φ | p − 2 ( V ( x ) ∗ | φ | p ) = 0 , x ∈ R N must blow up for a class of initial data with nonnegative energy and some restriction on p . Then using this we prove that the standing wave must be H 1 ( R N ) strongly unstable with respect to the nonlocal nonlinear Schrodinger equation.

Boling Guo | Jianqing Chen | B. Guo | Jianqing Chen

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