WIAS Preprint No. 29, (1992)

Existence and uniqueness results for equations modelling transport of dopants in semiconductors.


Authors

  • Glitzky, Annegret
    ORCID: 0000-0003-1995-5491
  • Gröger, Konrad
  • Hünlich, Rolf

Keywords

  • Transport of dopants in semiconductors, reaction-diffusion equations, Lypunov-function, a-priori estimates, global existence, uniqueness, asymptotic behaviour

DOI

10.20347/WIAS.PREPRINT.29

Abstract

This paper is devoted to the analytical investigation of some non-linear reaction-diffusion system modelling the transport of dopants in semiconductors. Estimates by the energy functional and L∞-estimates obtained by a modified De Giorgi method imply global existence and uniqueness as well as results concerning the asymptotic behaviour.

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