Irkıl, NazlıMahdi, KhaledPişkin, ErhanAlnegga, MohammadBoulaaras, Salah2024-03-262024-03-262023Irkıl, N., Mahdi, K., Pişkin, E., Alnegga, M. ve Boulaaras, S. (2023). On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up. Journal of Inequalities and Applications, 2023(1), 1-23.1025-5834https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-023-03072-3https://hdl.handle.net/11468/13722This 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.eninfo:eu-repo/semantics/openAccessBlow-upDynamical boundary conditionExistenceLogarithmic nonlinearityMathematical operatorsPartial differential equationsArticle20231123WOS:0011271843000012-s2.0-8518016756910.1186/s13660-023-03072-3Q1N/A