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Family Potential Wells and its Applications to NLS with Harmonic Potentia |
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PP: 155S-165S |
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Author(s) |
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Xiaoli Jiang, et al,
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Abstract |
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| This paper discusses a class of nonlinear Schršodinger equation with combined power-type nonlinearities and harmonic
potential. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp condition
for blow up and global existence of the solutions by applying the potential well theory and the concavity method. |
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