BLOW-UP RATE FOR PARABOLIC PROBLEMS WITH NONLOCAL SOURCE AND BOUNDARY FLUX

Arnaud Rougirel
2003 Electronic Journal of Differential Equations   unpublished
We determine the blow-up rate and the blow-up set for a class of one-dimensional nonlocal parabolic problems with opposite source term and boundary flux. As a consequence, it is shown that the solutions approach negative infinity in the interior of the domain and positive infinity at one boundary point.
fatcat:vv5mipmcfffapa5foyq57y2b6u