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L2-Decay of Solutions to Dissipative Nonlinear Schrödinger Equation with Large Initial Data

  • 期刊论文

  • 发表日期：

    2024年3月1日

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  • Jadamba Gerelmaa,
  • Naoyasu Kita,
  • Takuya Sato

摘要

We study an L2-decay estimate of solutions to the dissipative nonlinear Schrödinger equation in a one-dimensional space. In the known results, the so-called strong dissipative condition is applied to the decay estimate for the initial data without size restriction. In this paper, we succeed in obtaining the L2-decay rate under a weaker dissipative condition.