Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the...

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Bibliographic Details
Main Authors: Benramdane A., Mezouar N., Bensaber F., Boulaaras S., Jan R.
Other Authors: 57223256329
Format: Article
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2024
Subjects:
blow-up
fractional boundary dissipation
logarithmic Lam� system
mathematical operators
partial differential equations
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Institution: Universiti Tenaga Nasional
Description
Summary:In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy. � 2023 by the authors.

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