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arXiv · 1403.2915

Global well-posedness for higher-order Schr\"odinger equations in weighted $L^2$ spaces

Youngwoo Koh·Ihyeok Seo
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Abstract

We obtain the global well-posedness for Schr\"odinger equations of higher orders in weighted $L^2$ spaces. This is based on weighted $L^2$ Strichartz estimates for the corresponding propagator with higher-order dispersion. Our method is also applied to the Airy equation which is the linear component of Korteweg-de Vries type equations.

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Youngwoo Koh, Ihyeok Seo. 2014-03-12. Global well-posedness for higher-order Schr\"odinger equations in weighted $L^2$ spaces. https://arxiv.org/abs/1403.2915

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