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    On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up
    (Institute for Ionics, 2023) Irkıl, Nazlı; Mahdi, Khaled; Pişkin, Erhan; Alnegga, Mohammad; Boulaaras, Salah
    This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the Faedo-Galerkin method and the Schauder fixed-point theorem. Additionally, under suitable assumptions on initial data, the lower bound time of the blow-up result is investigated.