| Degenerate parabolic initial-boundary value problems due to, respectively, a concentrated nonlinear source, and a nonlinear source of local and nonlocal features, are studied. For each type of the problems, it is shown to have a unique continuous solution u before a blow-up occurs; a criterion for u to blow up in a finite time is given; if u blows up, then the blow-up set consists of a single point where the nonlinear concentrated source is situated; a computational method is also given to determine the finite blowup time for each given size of the domain. |
