Existence and uniqueness results for equations modelling transport of dopants in semiconductors.
- Glitzky, Annegret
- Gröger, Konrad
- Hünlich, Rolf
- Transport of dopants in semiconductors, reaction-diffusion equations, Lypunov-function, a-priori estimates, global existence, uniqueness, asymptotic behaviour
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.