Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values

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.

Authors

Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2025-04-01
DOI
https://doi.org/10.1051/wujns/2025302111
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values

Yulin Li, Xue Ying-zhen
2 links
Wuhan University Journal of Natural Sciences
Stability and Controllability of Differential Equations
article

Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values

Yulin Li, Xue Ying-zhen
article en

Abstract

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.

Wuhan University Journal of Natural SciencesVol. 30(2)
Openalex Percentile: Top 89%
Stability and Controllability of Differential Equations
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Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values — Yulin Li, Xue Ying-zhen · Wuhan University Journal of Natural Sciences (2025) | TGRS Research Map | TGRS