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

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-30 DOI:10.1016/j.aml.2024.109248

Meng Hu , Qiaozhen Ma , Xin-Guang Yang , Jinyun Yuan

引用次数: 0

Abstract

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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具有 Lipschitz 摄动和非自治算子的抽象双曲方程的局部好求解性

基于同质抽象问题的局部好求解性，利用加藤变规范技术提出了具有 Lipschitz 摄动和非自治算子的抽象双曲方程的 Cauchy 问题的局部温和解和经典解的存在性和唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.