有界函数
数学分析
非线性系统
上下界
领域(数学分析)
波动方程
订单(交换)
区间(图论)
数学
物理
班级(哲学)
工作(物理)
边值问题
边界(拓扑)
常量(计算机编程)
时域
量子力学
组合数学
计算机科学
财务
人工智能
经济
程序设计语言
计算机视觉
出处
期刊:Axioms
[MDPI AG]
日期:2022-05-01
卷期号:11 (5): 212-212
标识
DOI:10.3390/axioms11050212
摘要
In this work, we consider a class of initial boundary value problems for fourth-order dispersive wave equations with superlinear damping and non-local source terms as well as time-dependent coefficients in Ω×(t>0), where Ω is a bounded domain in RN and N≥2. We prove that there exists a safe time interval of existence in the solution [0,T], with T being a lower bound of the blowup time t*. Moreover, we find an explicit lower bound of t*, assuming the coefficients are positive constants.
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