Uniqueness for the two-dimensional semiconductor equations in case of high carrier densities

DOI10.1007/BF03025736zbMath0790.35049MaRDI QIDQ1321004

Joachim Rehberg, Konrad Gröger

Publication date: 26 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174544

zbMATH Keywords

uniquenessa priori estimatesmixed boundary conditionsFermi-Dirac statisticsdrift-diffusion modelscarrier transport in semiconductor devicesspatially two- dimensional problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Motion of charged particles (78A35) Second-order parabolic systems (35K40)

Related Items

Global estimates and asymptotics for electro reaction diffusion systems in heterostructures ⋮ Global well posedness for a 2D drift–diffusion–Maxwell system

Cites Work

• On the basic equations for carrier transport in semiconductors
• A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
• Resolvent estimates in \(W^{-1,p}\) for second order elliptic differential operators in case of mixed boundary conditions
• W1,p-estimates of solutions to evolution equations corresponding to nonsmooth second order elliptic differential operators
• ON THE UNIQUENESS OF SOLUTIONS TO THE DRIFT-DIFFUSION MODEL OF SEMICONDUCTOR DEVICES
• Semiconductor Equations for variable Mobilities Based on Boltzmann Statistics or Fermi-Dirac Statistics