TY - JOUR AU - Arrieta Algarra, José María AU - Rodríguez Bernal, Aníbal PY - 2004 DO - 10.1081/PDE-200033760 SN - 0360-5302 UR - https://hdl.handle.net/20.500.14352/50324 T2 - Communications in Partial Differential Equations AB - In this work we analyze the existence of solutions that blow-up in finite time for a reaction-diffusion equation ut−Δu=f(x,u) in a smooth domain Ω with nonlinear boundary conditions ∂u∂n=g(x,u). We show that, if locally around some point of the... LA - eng M2 - 1127 PB - Taylor & Francis KW - reaction-diffusion KW - blow-up KW - nonlinear boundary conditions KW - heat-equations KW - parabolic equations KW - positive solutions KW - uniqueness KW - attractors TI - Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions. TY - journal article VL - 29 ER -