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arXiv · 2312.07002

Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schr\"odinger equation

Ruobing Bai·Mohamed Majdoub·Tarek Saanouni
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Abstract

We investigate the blow-up for a fourth-order Schr\"odinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial solutions with negative energy. Our result serves as a valuable complement to the existing literature and offers an improvement in our understanding of the subject matter.

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Ruobing Bai, Mohamed Majdoub, Tarek Saanouni. 2023-12-12. Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schr\"odinger equation. https://doi.org/10.4310/dpde.260103063613

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