학술논문
CONTINUOUS DEPENDENCE ON DATA UNDER THE LIPSCHITZ METRIC FOR THE ROTATION-CAMASSA-HOLM EQUATION
Document Type
Academic Journal
Author
Source
数学物理学报（英文版） / Acta Mathematica Scientia. 41(1):1-18
Subject
Language
Chinese
ISSN
0252-9602
Abstract
In this article,we consider the Lipschitz metric of conservative weak solutions for the rotation-Camassa-Holm equation.Based on defining a Finsler-type norm on the tangent space for solutions,we first establish the Lipschitz metric for smooth solutions,then by proving the generic regularity result,we extend this metric to general weak solutions.