Global well-posedness for higher-order Schrödinger equations in weighted L² spaces

2014/03/12 by Koh, Youngwoo, Seo, Ihyeok
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.2915

Abstract

We obtain the global well-posedness for Schrödinger equations of higher orders in weighted L² spaces. This is based on weighted L² 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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