Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential
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Publication:5234833
DOI10.1619/fesi.61.135zbMath1434.35187arXiv1604.06957OpenAlexW2796045204MaRDI QIDQ5234833
Publication date: 4 October 2019
Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.06957
Related Items (21)
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Cites Work
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- Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
- Strong instability of standing waves for Hartree equation with harmonic potential
- Stability of standing waves for nonlinear Schrödinger equations with potentials
- Instability of standing waves for nonlinear Schrödinger equations with potentials
- Structure of positive radial solutions to scalar field equations with harmonic potential
- Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential
- Remarks on nonlinear Schrödinger equations with harmonic potential
- A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\)
- Stability of standing waves for nonlinear Schrödinger equations with critical power nonlinearity and potentials
- Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential
- A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations
- Uniqueness of Positive Solutions to Scalar Field Equations with Harmonic Potential
- Uniqueness of positive radial solutions of semilinear elliptic equations in RNand séré's non—degeneracy condition
- Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
- Strong instability of standing waves for nonlinear Schr\"odinger equations with double power nonlinearity
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