L∞ bounds for Maxwell-gauged equations in R1+1 and their applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:488

Article

Huh, Hyungjin¹ 

[1] Chung Ang Univ, Dept Math, Seoul 06974, South Korea

关键词: Maxwell-gauged O(3) sigma model;    Maxwell-Klein-Gordon;    L-infinity bound;    Growth-in-time of H-2 norm;   

DOI  :  10.1016/j.jmaa.2020.124064

来源: Elsevier

【 摘 要 】

By making use of local energy conservation, we estimate the L-infinity norm of the first derivative of the solution to the Maxwell-gauged O(3) sigma model in R1+1. As an application of the bound, we obtain the growth of the H-2 norm of the solution. Quadratic polynomial growth is obtained by improving exponential growth. A similar idea can be applied to the Maxwell-Klein-Gordon equations in R1+1. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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