Laboratoire d'Applications des Mathematiques
Universite de Poitiers
86 962 Futuroscope Chasseneuil Cedex, France
email: rougirel@math.univ-poitiers.fr
Arnaud Rougirel
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.
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Arnaud Rougirel Laboratoire d'Applications des Mathematiques Universite de Poitiers 86 962 Futuroscope Chasseneuil Cedex, France email: rougirel@math.univ-poitiers.fr |
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