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The saddle point property for focusing selfsimilar solutions in a free boundary problem
Author(s):
Claude-Michel
Brauner;
Josephus
Hulshof;
Claudine
Schmidt-Lainé
Journal:
Proc. Amer. Math. Soc.
127
(1999),
473-479.
MSC (1991):
Primary 35K55, 35K65, 80A25
MathSciNet review:
1600108
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Abstract:
We establish the saddle point property of the focusing selfsimilar solution of a free boundary problem for the heat equation with free boundary conditions given by  and  .
References:
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- 3.
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- 4.
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Additional Information:
Claude-Michel
Brauner
Affiliation:
Mathématiques Appliquées de Bordeaux, Université Bordeaux I, 33405 Talence cedex, France
Email:
brauner@math.u-bordeaux.fr
Josephus
Hulshof
Affiliation:
Department of Mathematics, Leiden University, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands
Email:
hulshof@wi.leidenuniv.nl
Claudine
Schmidt-Lainé
Affiliation:
CNRS UMR 128, Ecole Normale Supérieure de Lyon, 69364 Lyon cedex 07, France
Email:
schmidt@umpa.ens-lyon.fr
DOI:
10.1090/S0002-9939-99-04829-7
PII:
S 0002-9939(99)04829-7
Keywords:
Free boundary problem,
similarity variables,
linearization,
analytic semigroups,
fully nonlinear equations,
saddle point property
Received by editor(s):
May 21, 1997
Additional Notes:
We are grateful for the support of the Universities of Leiden and Bordeaux I and of the HCM-project ``Nonlinear PDE-'s" (ERBCHRXCT 940-618). The visit of the first and the third author to Leiden was supported by the ESF/FBP program.
Communicated by:
Jeffrey Rauch
Copyright of article:
Copyright
1999,
American Mathematical Society
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