Finite time blow-up for the inhomogeneous equation in
Author:
Ross G. Pinsky
Journal:
Proc. Amer. Math. Soc. 127 (1999), 3319-3327
MSC (1991):
Primary 35K15, 35K55
DOI:
https://doi.org/10.1090/S0002-9939-99-05164-3
Published electronically:
May 17, 1999
MathSciNet review:
1641081
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We consider the inhomogeneous equation
where ,
and
, and give criteria on
, and
which determine whether for all
and all
the solution blows up in finite time or whether for
and
sufficiently small, the solution exists for all time.
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Additional Information
Ross G. Pinsky
Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, Haifa, 32000, Israel
Email:
pinsky@tx.technion.ac.il
DOI:
https://doi.org/10.1090/S0002-9939-99-05164-3
Keywords:
Finite time blow-up,
semilinear reaction-diffusion equations,
critical exponent
Received by editor(s):
February 11, 1998
Published electronically:
May 17, 1999
Additional Notes:
This research was supported by the Fund for the Promotion of Research at the Technion.
Communicated by:
Lesley M. Sibner
Article copyright:
© Copyright 1999
American Mathematical Society