
doi: 10.3390/math11224591
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.
mathematical operators, logarithmic Lamé system, fractional boundary dissipation, partial differential equations, QA1-939, blow-up, Mathematics
mathematical operators, logarithmic Lamé system, fractional boundary dissipation, partial differential equations, QA1-939, blow-up, Mathematics
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