Initial-boundary value problems describing mobile carrier transport in semiconductor devices. (English) Zbl 0581.35069

Gröger, Konrad

Commentat. Math. Univ. Carol. 26, 75-89 (1985).

The system of partial differential equations describing mobile carrier transport in semiconductor devices with constant or varying densities of ionized impurities is investigated. Under appropriate assumptions there are indicated proofs of the global existence, uniqueness and the exponential stability of solutions to corresponding systems.

MSC:

35Q99	Partial differential equations of mathematical physics and other areas of application
35D05	Existence of generalized solutions of PDE (MSC2000)
35B40	Asymptotic behavior of solutions to PDEs

Keywords:

van Roosbroeck’s equations; carrier transport; semiconductor; global existence; uniqueness; exponential stability