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.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-05-16
DOI
https://doi.org/10.1051/wujns/2025302111/pdf
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Springer Link (Chiba Institute of Technology)
Nonlinear Partial Differential Equations
article

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

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.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 18%
Nonlinear Partial Differential Equations
DOISourceOpenAlex
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Life Span of Solutions for a Class of Semilinear Parabolic Equations with Large Initial Values · Springer Link (Chiba Institute of Technology) (2025) | TGRS Research Map | TGRS