Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms

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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Bibliographic Details
Main Authors: Ayşe Fidan, Erhan Pişkin, Ercan Çelik
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2024/5866792
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