Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 98, pp. 1-18.

Title: Blow-up rate for parabolic problems with nonlocal source and boundary flux

Author: Arnaud Rougirel (Univ. de Poitiers, France)

Abstract: 
 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.
 
Submitted February 20, 2003. Published September 25, 2003.
Math Subject Classifications: 35K55, 35B40.
Key Words: Blow-up rate; nonlocal parabolic equation.