On a quasi-variational inequality arising in semiconductor theory.

José-Francisco Rodrigues

Revista Matemática de la Universidad Complutense de Madrid (1992)

  • Volume: 5, Issue: 1, page 137-151
  • ISSN: 1139-1138

Abstract

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Some new mathematical results of existence and uniqueness of solutions are obtained for a class of quasi-variational inequalities modeling the free boundary problem for the determination of the depletion zone in reverse biased semiconductor diodes. The corresponding one (or two) obstacle implicit problems are solved by direct methods with weak regularity estimates for mixed boundary value elliptic problems of second order.

How to cite

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Rodrigues, José-Francisco. "On a quasi-variational inequality arising in semiconductor theory.." Revista Matemática de la Universidad Complutense de Madrid 5.1 (1992): 137-151. <http://eudml.org/doc/44316>.

@article{Rodrigues1992,
abstract = {Some new mathematical results of existence and uniqueness of solutions are obtained for a class of quasi-variational inequalities modeling the free boundary problem for the determination of the depletion zone in reverse biased semiconductor diodes. The corresponding one (or two) obstacle implicit problems are solved by direct methods with weak regularity estimates for mixed boundary value elliptic problems of second order.},
author = {Rodrigues, José-Francisco},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Ecuaciones diferenciales elípticas; Inecuaciones variacionales; Problemas de valor de frontera; Diodos semiconductores; semiconductor theory; existence; regularity; uniqueness; variational inequality; mixed boundary conditions},
language = {eng},
number = {1},
pages = {137-151},
title = {On a quasi-variational inequality arising in semiconductor theory.},
url = {http://eudml.org/doc/44316},
volume = {5},
year = {1992},
}

TY - JOUR
AU - Rodrigues, José-Francisco
TI - On a quasi-variational inequality arising in semiconductor theory.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1992
VL - 5
IS - 1
SP - 137
EP - 151
AB - Some new mathematical results of existence and uniqueness of solutions are obtained for a class of quasi-variational inequalities modeling the free boundary problem for the determination of the depletion zone in reverse biased semiconductor diodes. The corresponding one (or two) obstacle implicit problems are solved by direct methods with weak regularity estimates for mixed boundary value elliptic problems of second order.
LA - eng
KW - Ecuaciones diferenciales elípticas; Inecuaciones variacionales; Problemas de valor de frontera; Diodos semiconductores; semiconductor theory; existence; regularity; uniqueness; variational inequality; mixed boundary conditions
UR - http://eudml.org/doc/44316
ER -

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