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<p>This work proves the energy scattering for an inter-critical non-linear biharmonic Schödinger equation with an unbounded inhomogeneous term. The proof follows the method of Dodson-Murphy (Proc. Am. Math. Soc. 145, no. 11 (2017), 485904867), based on variance type identities and the scattering criteria of Tao (Dyn. Partial. Differ. Equ. 1 (2004), no. 1, 1–48). The challenge is to overcome the presence of an unbounded inhomogeneous term. This note naturally complements (Calc. Var. 60, 113 (2021)).</p>

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Energy Scattering for an Inhomogeneous Fourth-Order Non-linear Schrödinger Equation with Spatially Growing Nonlinearity

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Tarek Saanouni,
  • Qihong Shi

摘要

This work proves the energy scattering for an inter-critical non-linear biharmonic Schödinger equation with an unbounded inhomogeneous term. The proof follows the method of Dodson-Murphy (Proc. Am. Math. Soc. 145, no. 11 (2017), 485904867), based on variance type identities and the scattering criteria of Tao (Dyn. Partial. Differ. Equ. 1 (2004), no. 1, 1–48). The challenge is to overcome the presence of an unbounded inhomogeneous term. This note naturally complements (Calc. Var. 60, 113 (2021)).