Work

Qualitative analysis of solutions for a parabolic m(x)-biharmonic equation with logarithmic nonlinearity

Year: 2025

Type: article

Abstract: In this paper, we consider a nonlinear parabolic m(x)-biharmonic equation with logarithmic source terms. Applying the potential well method combined with the Nehari manifold, the global existence and blow-up of weak solutions is proved. In addition, we establish decay estimates for the global weak solutions.

Source: Filomat

DOI: 10.2298/fil2505657b

Authors: Gülistan Butakın, Erhan Pişkin

Institution: Dicle University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412757387

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Cites: 29

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Related to: 10