Mohammed Guedda
Abstract:
This work shows the absence of global solutions to the
equation
in the Minkowski space
,
where
,
, and
is a conformal factor
approaching 0 at infinity.
Using a modification of the method of conformal compactification,
we prove that any solution develops a singularity at a finite time.
Submitted November 15, 2002. Published May 3, 2003.
Math Subject Classifications: 35L70, 35B40, 35L15.
Key Words: Blow up, conformal compactification.
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Mohammed Guedda Lamfa, CNRS UMR 6140 Universite de Picardie Jules Verne Faculte de Mathematiques et d'Informatique 33, rue Saint-Leu 80039, Amiens, France email: guedda@u-picardie.fr |
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