Blow up, exponential decay of solutions for a g-heat equation with source term : analytical and numerical results

We consider an initial value problem related to the equation (1.1), with homogeneous Diriclet boundary condition in a bounded domain.We prove under suitable conditions on initial energy a blow up and exponential decay of solutions, and also give the numerical examples to illustrate the blow up and exponential decay results.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-22
DOI
https://doi.org/10.5269/bspm.62304
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Blow up, exponential decay of solutions for a g-heat equation with source term : analytical and numerical results

Wissem Boughamsa, Amar Ouaoua
Boletim da Sociedade Paranaense de Matemática
Stability and Controllability of Differential Equations
article

Blow up, exponential decay of solutions for a g-heat equation with source term : analytical and numerical results

Wissem Boughamsa, Amar Ouaoua
article en

Abstract

We consider an initial value problem related to the equation (1.1), with homogeneous Diriclet boundary condition in a bounded domain.We prove under suitable conditions on initial energy a blow up and exponential decay of solutions, and also give the numerical examples to illustrate the blow up and exponential decay results.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
University of Skikda (DZ)
Openalex Percentile: Top 81%
Stability and Controllability of Differential Equations
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