Initial Boundary Value Problems from Semiconductor Device Theory
Konrad Gröger · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1987
Abstract This paper is concerned with the basic equations for carrier transport in semiconductors in case of boundary conditions allowing the electrostatic potential at a contact to depend on the total current through this contact. An existence‐uniqueness result is proved and, under additional assumptions, the global boundedness and the asymptotic behaviour of solutions are investigated.