Uniqueness and regularity for the two-dimensional drift-diffusion model for semiconductors coupled with Maxwell's equations
type: Item
instance of: scholarly article
title: Uniqueness and regularity for the two-dimensional drift-diffusion model for semiconductors coupled with Maxwell's equations
zbMATH Open document ID: 0968.78004
published in: Journal of Differential Equations
publication date: 1998-10-18T00:00:00Z
review text: A transient problem in two space dimensions is considered that involves the drift-diffusion equations and the Maxwell equations for the description of charge-transport in semiconductors. Regularity properties are considered, and the main result involves the existence of the two-dimensional case, and the results are obtained by using Sobolev-embedding theorems in fractional order Sobolev spaces.
reviewed by: Alan Jeffrey
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 82D55
zbMATH DE Number: 1212345
zbMATH Keywords: regularity
zbMATH Keywords: drift-diffusion equations
zbMATH Keywords: Maxwell equations
zbMATH Keywords: charge-transport
zbMATH Keywords: semiconductors
zbMATH Keywords: Sobolev-embedding theorems
zbMATH Keywords: fractional order Sobolev spaces
author: Frank Jochmann
MaRDI profile type: Publication
OpenAlex ID: W2010155489
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DOI: 10.1006/JDEQ.1998.3449
description: scientific article; zbMATH DE number 1212345