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Title
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On the Global Behaviour of Solutions for A Delayed Viscoelastic-Type Petrovesky Wave Equation with p-Laplacian Operator and Logarithmic Source
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Type
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JournalPaper
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Keywords
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global existence; energy decay; viscoelastic wave equation; strong damping; p-Laplacian; logarithmic nonlinearity
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Abstract
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This research is concerned with a nonlinear p-Laplacian-type wave equation with a strong damping and logarithmic source term under the null Dirichlet boundary condition. We establish the global existence of the solutions by using the potential well method. Moreover, we prove the stability of the solutions by the Nakao technique. An example with illustrative figures is provided as an application.
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Researchers
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Nahid Fatima (Fourth Researcher), Jehad Alzabut (Second Researcher), Bochra Belhadji (First Researcher), Mohammad Esmael Samei (Third Researcher)
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