Global well-posedness for a L2-critical nonlinear higher-order Schrodinger equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:458

Article

Van Duong Dinh¹ 

[1] Univ Paul Sabatier, Inst Math Toulouse, Toulouse, France

关键词: Cubic higher-order Schrodinger equation;    Global well-posedness;    Almost conservation law;   

DOI  :  10.1016/j.jmaa.2017.09.004

来源: Elsevier

【 摘 要 】

We prove the global well-posedness for a L-2-critical defocusing cubic higher-order Schrodinger equation, namely i partial derivative(t)u+Lambda(k)u= -vertical bar u vertical bar(2)u, where Lambda = root-Delta and k >= 3, k is an element of Z in R-k with initial data u(0) is an element of H-gamma, gamma > gamma(k) := k(4k-1)/14k-3. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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