Local well-posedness of abstract hyperbolic equation with Lipschitz perturbation and non-autonomous operator

被引：0
|
作者：
Hu, Meng [1 ]
Ma, Qiaozhen [1 ]
Yang, Xin-Guang [2 ]
Yuan, Jinyun [2 ,3 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
[2] Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Peoples R China
[3] Dongguan Univ Technol, Dept Math, Dongguan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 158卷
关键词：
Lipschitz perturbation; Non-autonomous operator; Local well-posedness;
D O I：
10.1016/j.aml.2024.109248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the local well-posedness for the homogeneous abstract problem, the existence and uniqueness of the local mild and classical solutions have been presented by using Kato's variable norm technique for the Cauchy problem of abstract hyperbolic equation with Lipschitz perturbation and non-autonomous operator.
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页数：6
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