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

Blow-Up of Solution of Lamé 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: Amina Benramdane, Nadia Mezouar, Fatna Bensaber, Salah Boulaaras, Rashid Jan
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Mathematics
Subjects:
blow-up
fractional boundary dissipation
logarithmic Lamé system
partial differential equations
mathematical operators
Online Access:https://www.mdpi.com/2227-7390/11/22/4591

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