Existence, decay, and blow-up of solutions for a weighted m -biharmonic equation with nonlinear damping and source terms

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Tarih

2024

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Hindawi Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao's inequality. Finally, we proved the blow-up of solutions in finite time.

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Journal of Function Spaces

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N/A

Scopus Q Değeri

Q1

Cilt

2024

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Künye

Fidan, A., Pişkin, E. ve Çelik, E. (2024). Existence, decay, and blow-up of solutions for a weighted m -biharmonic equation with nonlinear damping and source terms. Journal of Function Spaces, 2024, 1-8.