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Díaz Díaz, Jesús Ildefonso and Galiano, Gonzalo and Padial Molina, Juan Francisco
(1999)
*On the uniqueness of solutions of a nonlinear elliptic problem arising in the confinement of a plasma in a stellarator device.*
Applied mathematics and optimization, 39
(1).
pp. 61-73.
ISSN 0095-4616

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Official URL: http://www.springerlink.com/content/txbb9g2vdymjc6m9/fulltext.pdf

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## Abstract

We study the uniqueness of solutions of a semilinear elliptic problem obtained from an inverse formulation when the nonlinear terms of the equation are prescribed in a general class of real functions, The inverse problem arises in the modeling of the magnetic confinement of a plasma in a Stellarator device. The uniqueness proof relies on an L-infinity-estimate on the solution of an auxiliary nonlocal problem formulated in terms of the relative rearrangement of a datum with respect to the solution.

Item Type: | Article |
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Uncontrolled Keywords: | free-boundary problem; rearrangement; equilibrium; uniqueness of solution; nonlinear elliptic equations; nonlinear equations; relative rearrangement; plasma physics |

Subjects: | Sciences > Mathematics > Numerical analysis |

ID Code: | 15676 |

Deposited On: | 19 Jun 2012 09:15 |

Last Modified: | 12 Dec 2018 15:07 |

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