Sharp global existence condition and instability by blowup for an inhomogeneous L critical nonlinear Schrödinger equation
نویسنده
چکیده
An inhomogeneous nonlinear Schrödinger equation is considered, which is invariant under L scaling. The sharp condition for global existence of H solutions is established, involving the L norm of the ground state of the stationary equation. Strong instability of standing waves is proved by constructing self-similar solutions blowing up in finite time.
منابع مشابه
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