RT Journal Article T1 Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up A1 Rodríguez Bernal, Aníbal A1 Tajdine, Anas AB The authors consider a reaction-diffusion equation in a bounded smooth domain Ω⊂R n with nonlinear flux terms on the boundary of Ω . They derive suitable conditions on the nonlinear terms of the problem which imply its dissipativity. The authors explore different situations in which there exist solutions of the problem that blow up in finite time. The main tools in the proof of the results are either energy estimates or sub- and super-solution techniques. PB Elsevier SN 0022-0396 YR 2001 FD 2001-01-20 LK https://hdl.handle.net/20.500.14352/57914 UL https://hdl.handle.net/20.500.14352/57914 LA eng NO DGES DS Docta Complutense RD 17 abr 2025