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Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents

Year: 2025

Type: article

Abstract: In this study, we examine a q-Kirchhoff-type equation defined on a bounded domain, incorporating nonlinear boundary damping and source terms with variable exponents. Assuming appropriate conditions on the initial data and the variable exponent functions, we establish the global existence of solutions. Subsequently, we derive a general decay estimate for these solutions. Lastly, we demonstrate that solutions with negative initial energy exhibit finite-time blow-up.

Source: Mathematics

DOI: 10.3390/math13223600

Authors: Nouri Boumaza, Billel Gheraibia, Zayd Hajjej, Hongwei Zhang, Said Mesloub

Institutions: Université Larbi Tébessi, Larbi Ben M'hidi University of Oum El Bouaghi, King Saud University, Henan University of Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4416092655

FWCI:

Cites: 32

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