The saddle point property for focusing selfsimilar solutions in a free boundary problem
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- by Claude-Michel Brauner, Josephus Hulshof and Claudine Schmidt-Lainé PDF
- Proc. Amer. Math. Soc. 127 (1999), 473-479 Request permission
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 $u=0$ and ${\partial u\over \partial \nu }=1$.References
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Additional Information
- Claude-Michel Brauner
- Email: brauner@math.u-bordeaux.fr
- Josephus Hulshof
- Affiliation: Mathématiques Appliquées de Bordeaux, Université Bordeaux I, 33405 Talence cedex, France
- 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
- 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 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 473-479
- MSC (1991): Primary 35K55, 35K65, 80A25
- DOI: https://doi.org/10.1090/S0002-9939-99-04829-7
- MathSciNet review: 1600108