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<p>This paper investigates inverse potential problems of wave equations with cubic nonlinearity. We develop a methodology for establishing stability estimates for inversion of lower order coefficients. The new ingredients of our approach include trilinear approximations of nonlinear response operators, symbol estimates of distorted plane waves, and lower order symbol calculus.</p>

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Stable inversion of potential in nonlinear wave equations with cubic nonlinearity

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • Xi Chen,
  • Shuai Lu,
  • Ruochong Zhang

摘要

This paper investigates inverse potential problems of wave equations with cubic nonlinearity. We develop a methodology for establishing stability estimates for inversion of lower order coefficients. The new ingredients of our approach include trilinear approximations of nonlinear response operators, symbol estimates of distorted plane waves, and lower order symbol calculus.