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Scattering for Radial Defocusing Inhomogeneous Bi-Harmonic SchrÖDinger Equations

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Abstract

This note studies the asymptotic behavior of global solutions to the fourth-order Schrödinger equation

$$ i\dot u+{\Delta}^{2} u-F(x,u)=0 . $$

Indeed, for both cases, local and non-local source term, the scattering is obtained in the defocusing mass super-critical and energy sub-critical regimes, with radial setting.

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The data that supports the findings of this study are available within the article.

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  1. Department of Mathematics, College of Sciences and Arts of Uglat Asugour, Qassim University, Buraydah, Kingdom of Saudi Arabia

    Tarek Saanouni

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  1. Tarek Saanouni
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Correspondence to Tarek Saanouni.

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Saanouni, T. Scattering for Radial Defocusing Inhomogeneous Bi-Harmonic SchrÖDinger Equations. Potential Anal 56, 649–667 (2022). https://doi.org/10.1007/s11118-020-09898-6

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