The stability of solutions for the Fornberg-Whitham equation in L1(R) space

被引：0
作者：
Gao, Xiujuan [1 ]
Lai, Shaoyong [1 ]
Chen, Hongjin [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Dept Math, Chengdu, Sichuan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2018年
基金：
中国国家自然科学基金;
关键词：
L-1; stability; Local strong solutions; The Fornberg-Whitham equation; CAMASSA-HOLM; WELL-POSEDNESS; CAUCHY-PROBLEM; CONTINUITY PROPERTIES; WEAK SOLUTIONS; EXISTENCE;
D O I：
10.1186/s13661-018-1065-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The L-2(R) conservation law of solutions for the nonlinear Fornberg-Whitham equation is derived. Making use of the Kruzkov's device of doubling the space variables, the stability of the solutions in L-1(R) space is established under certain assumptions on the initial value.
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页数：13
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