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On the stationary semiconductor equations arising in modeling an LBIC technique (1996)

Fang, Weifu ; Ito, Kazufumi

Springer

Applied mathematics & optimization 33 (1996), S. 189-202

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ISSN: 1432-0606

Keywords: Existence and uniqueness ; Semiconductor equations ; LBIC ; 35J65 ; 35D05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper by using anL ∞ estimate for elliptic equations, we study the well-posedness of the stationary semiconductor equations arising from modeling a nondestructive testing technique LBIC. It is shown that when the extra source term is small, the system has a unique weak solution, and the solution is continuously dependent on this source term. The validity of an approximate model derived for the study of the inverse problem is established. The existence result is then extended to the case of constant mobilities without the assumption on the size of the source term.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01183143

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