Initial Boundary Value Problems from Semiconductor Device Theory
- 1 January 1987
- journal article
- Published by Wiley in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Vol. 67 (8) , 345-355
- https://doi.org/10.1002/zamm.19870670801
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.Keywords
This publication has 6 references indexed in Scilit:
- On the basic equations for carrier transport in semiconductorsJournal of Mathematical Analysis and Applications, 1986
- On the Boundedness of Solutions to the Basic Equations in Semiconductor TheoryMathematische Nachrichten, 1986
- On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in SemiconductorsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1985
- Analysis and Simulation of Semiconductor DevicesPublished by Springer Nature ,1984
- Nichtlineare Operatorgleichungen und OperatordifferentialgleichungenMathematische Nachrichten, 1975
- Theory of the Flow of Electrons and Holes in Germanium and Other SemiconductorsBell System Technical Journal, 1950