Anbu, ArivazhaganArivazhaganAnbuNatesan, Barani BalanBarani BalanNatesanLingeshwaran, ShangerganeshShangerganeshLingeshwaranKallumgal, DravidrajDravidrajKallumgal2025-08-312025-08-312023-10-0110.1007/s10883-023-09651-32-s2.0-85162625862https://d8.irins.org/handle/IITG2025/26623In this paper, we study the blow-up results for the sixth-order time-dependent partial differential equation (PDE). First, we establish the existence of global solutions for the given equation with the help of the Dirichlet-Neumann type boundary conditions. Moreover, we derive an upper bound for the blow-up time of the solution. Finally, we also obtain a lower bound for the blow-up time of the solution using the first-order differential inequality technique when blow-up occurs.falseBlow-up | Blow-up time | General nonlinearity | Parabolic equationArticle157386981653-1667October 20230arJournal0