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

Author

Benramdane, Amina, Mezouar, Nadia, Bensaber, Fatna, Boulaaras, Salah, and Jan, Rashid

Subjects
*INITIAL value problems, *BOUNDARY value problems, *PARTIAL differential equations, *BLOWING up (Algebraic geometry), *NONLINEAR wave equations, *WAVE equation
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2023
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