This research examines the well-posedness and blow-up phenomena associated with a p(l)-biharmonic wave equation characterized by singular dissipation and a variable-exponent logarithmic source term, subject to null Dirichlet boundary conditions. Utilizing contraction mapping principle and Faedo-Galerkin method, the global and local well-posedness of the equation are established. Furthermore, t he blow-up behavior, both in finite and infinite time, is demonstrated through the application of a modified concavity argument.

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