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- W2890095922 abstract "In this paper, we consider the long time dynamics of radially symmetric solutions of nonlinear Schrodinger equations (NLS) having a minimal mass ground state. In particular, we show that there exist solutions with initial data near the minimal mass ground state that oscillate for long time. More precisely, we introduce a coordinate defined near the minimal mass ground state which consists of finite and infinite dimensional part associated to the discrete and continuous part of the linearized operator. Then, we show that the finite dimensional part, two dimensional, approximately obeys Newton's equation of motion for a particle in an anharmonic potential well. Showing that the infinite dimensional part is well separated from the finite dimensional part, we will have long time oscillation." @default.
- W2890095922 created "2018-09-27" @default.
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- W2890095922 date "2018-09-18" @default.
- W2890095922 modified "2023-10-14" @default.
- W2890095922 title "Long time oscillation of solutions of nonlinear Schrodinger equations near minimal mass ground state" @default.
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- W2890095922 doi "https://doi.org/10.48550/arxiv.1809.06584" @default.
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