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

• 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

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...