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<p>We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non-classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.</p>

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Energy Scattering for the Unsteady Damped Nonlinear Schrödinger Equation

  • 期刊论文

  • 发表日期：

    2025年2月22日

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  • Makram Hamouda,
  • Mohamed Majdoub

摘要

We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non-classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.