A NONLINEAR DEGENERATE ELLIPTIC SYSTEM ARISING IN QUANTUM SEMICONDUCTOR MODELING

Authors
JUNGEL A
Citation
A. Jungel, A NONLINEAR DEGENERATE ELLIPTIC SYSTEM ARISING IN QUANTUM SEMICONDUCTOR MODELING, Zeitschrift fur angewandte Mathematik und Mechanik, 77, 1997, pp. 581-582
Citations number
5
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
77
Year of publication
1997
Supplement
2
Pages
581 - 582
Database
ISI
SICI code
0044-2267(1997)77:<581:ANDESA>2.0.ZU;2-E
Abstract
A nonlinear elliptic problem is derived from the isothermal or isentro pic stationary quantum hydrodynamic model in the gradient-flow case. T he problem is complemented will physically motivated Dirichlet boundar y conditions. Existence of solutions can be shown if the electric ener gy is small compared to tile thermal energy. Furthermore, uniqueness o f solutions is proven or small data.