Existence, decay and blow up of solutions for a parabolic type equation with logarithmic nonlinearity and singular potential

In this work, we obtain a parabolic type equation with logarithmic nonlinearity and singular potential. We establish the local existence and global existence of solutions. Later, we consider the decay of solutions by using the Komornik’s inequality. Furthermore, we prove the blow up of solutions.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-09-26
DOI
https://doi.org/10.1186/s13660-025-03373-9
Citations
1
Primary Topic
Computational Drug Discovery Methods
Type
article
Field-Weighted Citation Impact
1.50
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article

Existence, decay and blow up of solutions for a parabolic type equation with logarithmic nonlinearity and singular potential

1 citations
Journal of Inequalities and Applications
Computational Drug Discovery Methods
1.50
article

Existence, decay and blow up of solutions for a parabolic type equation with logarithmic nonlinearity and singular potential

article en
1 citations

Abstract

In this work, we obtain a parabolic type equation with logarithmic nonlinearity and singular potential. We establish the local existence and global existence of solutions. Later, we consider the decay of solutions by using the Komornik’s inequality. Furthermore, we prove the blow up of solutions.

Journal of Inequalities and ApplicationsVol. 2025(1)
Dicle University (TR), Qassim University (SA)
Reduced inequalities
Openalex Percentile: Top 11%
Computational Drug Discovery Methods
1.50
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Existence, decay and blow up of solutions for a parabolic type equation with logarithmic nonlinearity and singular potential · Journal of Inequalities and Applications (2025) | TGRS Research Map | TGRS