Work

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

Year: 2025

Type: article

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.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03373-9

Authors: Erhan Pişkin, Ayşe Fidan, Salah Boulaaras, Rafik Guefaifia

Institutions: Dicle University, Qassim University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W7083468838

FWCI: 3.771

Cites: 26

Cited by: 2

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