Stationary solutions to an energy model for semiconductor devices where the equations are defined on different domains
dc.bibliographicCitation.volume | 1173 | |
dc.contributor.author | Glitzky, Annegret | |
dc.contributor.author | Hünlich, Rolf | |
dc.date.accessioned | 2016-03-24T17:38:12Z | |
dc.date.available | 2019-06-28T08:02:23Z | |
dc.date.issued | 2006 | |
dc.description.abstract | We discuss a stationary energy model from semiconductor modelling. We accept the more realistic assumption that the continuity equations for electrons and holes have to be considered only in a subdomain $Omega_0$ of the domain of definition $Omega$ of the energy balance equation and of the Poisson equation. Here $Omega_0$ corresponds to the region of semiconducting material, $OmegasetminusOmega_0$ represents passive layers. Metals serving as contacts are modelled by Dirichlet boundary conditions. We prove a local existence and uniqueness result for the two-dimensional stationary energy model. For this purpose we derive a $W^1,p$-regularity result for solutions of systems of elliptic equations with different regions of definition and use the Implicit Function Theorem. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/3241 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1824 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1173, ISSN 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Energy models | eng |
dc.subject | mass | eng |
dc.subject | charge and energy transport in heterostructures | eng |
dc.subject | strongly coupled elliptic systems | eng |
dc.subject | mixed boundary conditions | eng |
dc.subject | Implicit Function Theorem | eng |
dc.subject | existence | eng |
dc.subject | uniqueness | eng |
dc.subject | regularity. | eng |
dc.subject.ddc | 510 | eng |
dc.title | Stationary solutions to an energy model for semiconductor devices where the equations are defined on different domains | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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