Arrieta Algarra, José María2023-06-202023-06-2020080002-993910.1090/S0002-9939-07-08980-0https://hdl.handle.net/20.500.14352/49761We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of a local nature and need only to hold in a small neighborhood of the point x0.engjournal articlehttp://www.ams.org/publications/journals/journalsframework/procopen access517.9Local boundedness at the boundaryNonlinear boundary conditionsBounded solutionsBlow-upEcuaciones diferenciales1202.07 Ecuaciones en Diferencias