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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Multidisciplinary Digital Publishing Institute (MDPI)
2024
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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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