RT Journal Article T1 On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions A1 Arrieta Algarra, José María AB 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. PB American Mathematical Society SN 0002-9939 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/49761 UL https://hdl.handle.net/20.500.14352/49761 LA eng NO DGES DS Docta Complutense RD 6 abr 2025