高阶双组分Camasss-Holm系统解的Holder连续性  

H?lder Continuity for a Two-component High-order Camassa-Holm System

作　　者：王彬 周寿明 宋雪珠 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《湖南城市学院学报（自然科学版）》2017年第6期46-49,共4页Journal of Hunan City University:Natural Science

基　　金：重庆师范大学科研创新项目(YKC17015)

摘　　要：由于高阶双组分Camassa-Holm系统是局部适定的,故该系统的解是连续依赖于初值条件的﹒本文根据局部适定性的结果,利用索伯列夫不等式和能量估计方法,首先给出高阶双组分Camassa-Holm系统解的一个先验估计;然后依据先验估计和索伯列夫插值公式,推导得出高阶双组分Camassa-Holm系统的解是H?lder连续的﹒From the local well-posedness results of the two-component high-order Camassa-Holm system we know that its solutions depend continuously on their initial data. Based on local well-posedness, we obtain that a priori estimate by Sobolev inequality and energy method. Furthermore, applying interpolation properties of the Sobolev spaces and a priori estimate, we prove that the solution map for the two-component high-order Camassa-Holm system is Holder continuous.

关 键 词：高阶双组分Camassa-Holm系统 索伯列夫空间 HOLDER连续 

分 类 号：TK22[动力工程及工程热物理—动力机械及工程]