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  • 1995-1999  (2)
  • 68.55.Nq  (1)
  • Key words. Uniqueness of solution, Nonlinear elliptic equations, Nonlocal equations, Relative rearrangement, Plasma physics. AMS Classification. 35J60, 76W05.  (1)
  • Frog skin
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applied physics 61 (1995), S. 111-114 
    ISSN: 1432-0630
    Keywords: 81.15.Fg ; 68.55.Nq ; 71.25.Mg ; 82.65.My
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Amorphous carbon (a-C) films obtained by pulsed-laser ablation of graphite have been investigated by X-ray Absorption Spectroscopy (XAS). The onset of 1s →σ * transitions in the films lies in the gap between theπ * andσ * bands in graphite and very close to the absorption edge of diamond, indicating a high content ofsp 3 hybridization. A sharp feature at this onset is observed and assigned to a core exciton insp 3-hybridized disordered C atoms. Its shift of 0.5 eV with respect to the core exciton in diamond is probably due to a higher localization of the excited electron induced by disorder. A small peak coming from C−H bonds at the surface is observed and its intensity inereases with the amount ofsp 3-hybridized atoms in the sample. This can be easily explained by associating a higher amount of dangling bonds at the surface to a highersp 3 content. Polarization-dependent XAS measurements show that the angular distribution of these C−H bonds has a mean value close to the normal to the surface.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics & optimization 39 (1999), S. 61-73 
    ISSN: 1432-0606
    Keywords: Key words. Uniqueness of solution, Nonlinear elliptic equations, Nonlocal equations, Relative rearrangement, Plasma physics. AMS Classification. 35J60, 76W05.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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^{\infty} $ -estimate on the solution of an auxiliary nonlocal problem formulated in terms of the relative rearrangement of a datum with respect to the solution.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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