%0 Journal Article
%A Arrieta Algarra, José María
%T On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
%D 2008
%@ 0002-9939
%U https://hdl.handle.net/20.500.14352/49761
%X We 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.
%~