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Attractor for the nonlinear Schrödinger equation with a nonlocal nonlinear term

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Publication:619298
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DOI10.1007/s10883-010-9108-6zbMath1203.35269OpenAlexW2025596060MaRDI QIDQ619298

Chaosheng Zhu, Zhilin Pu, Chun-Lai Mu

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-010-9108-6


Mathematics Subject Classification ID

Attractors (35B41) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items

Backward controller of a pullback attractor for delay Benjamin-Bona-Mahony equations, Unnamed Item, Global attractor for a class of coupled nonlinear Schrödinger equations, Pullback-forward dynamics for damped Schrödinger equations with time-dependent forcing



Cites Work

  • Finite dimensional behavior for weakly damped driven Schrödinger equations
  • The finite dimension behavior of the Schrödinger equation with nonlocal integral nonlinearity
  • Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrodinger equation
  • Regularity of the attractor for a weakly damped nonlinear schrödinger equation
  • Topics on Solitons in Plasmas
  • Global attractor for the damped Benjamin–Bona–Mahony equations on R1
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