Bouattit, RomeissaOussaeif, Taki Eddine2021-11-072021-11-072021http://hdl.handle.net/123456789/11288In this work , we studied a boundary value problem for some linear and super-linear hyperbolic partial differential equations with Dirichlet boundary condition. Where, using the energy inequality method for proving the existence and uniqueness of the solutions to these problems. Finally, we studied the finit time blow-up solution for a super-liner Dirichlet hyperbolic problem and the numerical simulation for itenHyprbolic eqautionNonlinear partial differential equationExistenceUniquenessOther