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This paper deals with a class of free boundary value problems issued from the physics of confined plasmas. By the use of the maximum principle and of a fixed point technique, analogous to the one of A. Bensoussan and J.-L. Lions for quasi-variational inequalities, modelling stock management problems, we obtain a localization of the solution in an interval order, smaller than the interval order of the initial sub and super-solution data of the successive approximation algorithm. We need here to use an isotone-antitone fixed-point mapping.

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Authors: MIELLOU J-C, Équipe de calcul scientifique, département de mathématiques, Université de Franche-Comté, Besançon (FR);GRANDGIRARD V, Departement de Recherches sur la Fusion Contrôlée, Association EURATOM - CEA, CEA Cadarache, Saint-Paul-Lez-Durance (FR)
Bibliographic Reference: An article published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 330, Issue 2, 15 January 2000, Pages 153-156
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Record Number: 200315734 / Last updated on: 2003-01-10
Original language: fr
Available languages: fr