On the Uniqueness of Solutions of a Nonlinear Elliptic Problem Arising in the Confinement of a Plasma in a Stellarator Device

Journal Article · Fri Jan 15 00:00:00 EST 1999 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S002459900098· OSTI ID:21064291

Diaz, J I; Galiano, G ^[1]; Padial, J F ^[2]

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1. Departamento de Matematica Aplicada, Fac. de Matematicas, Universidad Complutense de Madrid, 28040 Madrid (Spain)
2. Departamento de Matematica Aplicada, E.T.S. Arquitectura, Universidad Politecnica de Madrid, 28040 Madrid (Spain)

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{sup {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.

• OSTI ID: 21064291
• Journal Information: Applied Mathematics and Optimization, Vol. 39, Issue 1; Other Information: DOI: 10.1007/s002459900098; Copyright (c) 1999 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 1999 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
FUNCTIONS
MAGNETIC CONFINEMENT
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SIMULATION
STELLARATORS