<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We consider an inverse problem arising from an time-dependent drift-diffusion model in semiconductor devices, which is formulated in terms of a system of parabolic equations for the electron and hole densities and the Poisson equation for the electric potential. This inverse problem aims to identify the doping profile from the final overdetermination data of the electric potential. By using the Schauder’s fixed point theorem in suitable Sobolev space, the existence of this inverse problem are obtained. Moreover by means of Gronwall inequality, we prove the uniqueness of this inverse problem for small measurement time. For this nonlinear inverse problem, our theoretical results guarantee the solvability for the proposed physical model.</p></abstract>

We consider an inverse problem arising from an time-dependent drift-diffusion model in semiconductor devices, which is formulated in terms of a system of parabolic equations for the electron and hole densities and the Poisson equation for the electric potential. This inverse problem aims to identify the doping profile from the final overdetermination data of the electric potential. By using the Schauder’s fixed point theorem in suitable Sobolev space, the existence of this inverse problem are obtained. Moreover by means of Gronwall inequality, we prove the uniqueness of this inverse problem for small measurement time. For this nonlinear inverse problem, our theoretical results guarantee the solvability for the proposed physical model.

On the recovery of the doping profile in an time-dependent drift-diffusion model

Nanjing University of Information Science and Technology, Nanjing 210044, China.

Department of Mathematics, School of Science, East China Institute of Technology, Nanchang 330013, China.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the recovery of the doping profile in an time-dependent drift-diffusion model"}

We consider an inverse problem arising from an time-dependent drift-diffusion model in semiconductor devices, which is formulated in terms of a system of...

On the recovery of the doping profile in an time-dependent drift-diffusion model

Published Online: Oct 20, 2015

Page range: 253 - 274

Received: Feb 01, 2013

Accepted: Jun 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0045

Keywords
Time-dependent drift-diffusion model, Doping profile, Inverse problem, Existence, Uniqueness

© 2014 Bin Wu et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the recovery of the doping profile in an time-dependent drift-diffusion model

Published Online: Oct 20, 2015

Page range: 253 - 274

Received: Feb 01, 2013

Accepted: Jun 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0045

KeywordsTime-dependent drift-diffusion model, Doping profile, Inverse problem, Existence, Uniqueness

© 2014 Bin Wu et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Time-dependent drift-diffusion model, Doping profile, Inverse problem, Existence, Uniqueness