| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 2, April 2025
|
|
|---|---|---|
| Page(s) | 111 - 117 | |
| DOI | https://doi.org/10.1051/wujns/2025302111 | |
| Published online | 16 May 2025 | |
Mathematics
CLC number: O175.26
Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values
一类大初值半线性抛物型方程解的生命跨度
College of Business, Xi’an International University, Xi’an 710077, Shaanxi, China
Received:
28
September
2024
In this paper, a class of semilinear parabolic equations with cross coupling of power and exponential functions and large initial values are studied. By constructing and solving ordinary differential equations, the upper and lower bounds on the solution life span of the equations are obtained.
摘要
研究了一类幂函数与指数函数交叉耦合，且具有大初值的半线性抛物方程组，通过构造和求解常微分方程的方法，得到了方程组解生命跨度的上下限。
Key words: semilinear parabolic equations / life span / comparative principle / blow up
关键字 : 半线性抛物型方程 / 生命跨度 / 比较原理 / 爆破
Cite this article: XUE Yingzhen, LI Yulin. Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values[J]. Wuhan Univ J of Nat Sci, 2025, 30(2): 111-117.
Biography: XUE Yingzhen, male, Professor, research direction: theory and application of partial differential equation. E-mail: xueyingzhen@xaiu.edu.cn
Foundation item: Supported by Key Project Funding for Shaanxi Higher Education Teaching Reform Research (23BZ078), Shaanxi Provincial Education Science Planning Project (SGH24Y2782), Shaanxi Provincial Social Science Foundation Program(2024D008), Key Projects of the Second Huang Yanpei Vocational Education Thought Research Planning Project (ZJS2024ZN026), Shaanxi Higher Education Society Key Projects(XGHZ2301), 2024 Annual Planning Project of the China Association for Non-Government Education (School Development Category) (CANFZG24095), and the Youth Innovation Team of Shaanxi Universities
© Wuhan University 2025
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