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Strong Instability of Standing Waves for a Type of Hartree Equations

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摘要 In this paper,we study the following three-dimensional Schrodinger equation with combined Hartree-type and power-type nonlinearities i∂ψ+△ψ+(|x|^(-2)*|ψ|^(2))ψ+|ψ|^(p-1)=0 with 1<p<5.Using standard variational arguments,the existence of ground state solutions is obtained.And then we prove that when p≥3,the standing wave solution e^(1ωt)u_(ω)(x)is strongly unstable for the frequencyω>0.
出处 《Journal of Partial Differential Equations》 2025年第2期142-154,共13页 偏微分方程(英文版)
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