An application of the implicit function theorem to an energy model of the semiconductor theory

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 79, Issue 1, 1999, Pages 43-51

  Griepentrog, J A ^a  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22444454769     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(sici)1521-4001(199901)79:1<43::aid-zamm43>3.3.co;2-3     Document Type: Article

References (8)

1. GRÖGER, K.: On steady-state carrier distributions in semiconductor devices. Aplikace Mat. 32 (1987) 1, 49-56.
2. 1,p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations. Math. Ann. 283 (1989), 679-687.
3. HOWISON, S.; RODRIGUES, J.; SHILLOR, M.: Stationary solutions to the thermistor problem. J. Math. Anal. Appl. 174 (1993), 573-588.
4. RECKE, L.: Solvability properties of linear elliptic boundary value problems with nonsmooth data. Preprint Nr. 94 - 3, Fachbereich Mathematik, Humboldt-Universität zu Berlin 1994.
5. RECKE, L.: Applications of the Implicit Function Theorem to quasi-linear elliptic boundary value problems with non-smooth data. Comm. Part. Diff. Equations 20 (1995), 1457-1479.
6. TROIANIELLO, G. M.: Elliptic differential equations and obstacle problems. Plenum Press, New York - London 1987.
7. WACHUTKA, G.: Rigorous thermodynamic treatment of heat generation and conduction in semiconductor device modelling. In BACCARANI, G., RUDAN, M. (eds.): Simulation of semiconductor devices and processes. Vol. 3. Bologna (Italy), September 26-28, 1988, pp. 83-95.
8. 2,μ(Ω) estimate to the mixed boundary value problem for second order elliptic equations and its application in the thermistor problem. Nonlinear Analysis 24 (1995), 9-27.