SPACE LOCALIZATION AND UNIQUENESS OF SOLUTIONS OF A QUASI-LINEAR PARABOLIC-SYSTEM ARISING IN SEMICONDUCTOR THEORY

Authors
DIAZ JI GALIANO G JUNGEL A
Citation
Ji. Diaz et al., SPACE LOCALIZATION AND UNIQUENESS OF SOLUTIONS OF A QUASI-LINEAR PARABOLIC-SYSTEM ARISING IN SEMICONDUCTOR THEORY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(3), 1997, pp. 267-272
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
3
Year of publication
1997
Pages
267 - 272
Database
ISI
SICI code
0764-4442(1997)325:3<267:SLAUOS>2.0.ZU;2-U
Abstract
A degenerate parabolic system consisting in two continuity equations f or densities of charged particles and in the Poisson equation for an e lectric potential is considered. We show the finite speed of propagati on, a waiting time property for the vacuum (null) sets and a property of formation of vacuum. The proofs are based on energy methods. Furthe rmore, some results on the uniqueness of solutions are proved by using different duality methods.