Journal article
A Free Boundary Problem Arising in Electrophotography: Solutions with Connected Toner Region
SIAM journal on mathematical analysis, Vol.23(6), pp.1439-1454
11/1992
DOI: 10.1137/0523082
Abstract
A free boundary problem that arises in the development of a photocopy is studied. The electric potential −u satisfies the equation Δu=1 in the toner region and Δu=0 elsewhere. It is shown that C1+α smoothness of the free boundary would imply the C2+α smoothness of the solution up to both sides of the free boundary. Using this fact, the existence of a solution with connected it is proven that toner region with ∂u∂n=0 on the free boundary when the electrical charge length is “small.”
Details
- Title: Subtitle
- A Free Boundary Problem Arising in Electrophotography: Solutions with Connected Toner Region
- Creators
- Bei HuLihe Wang
- Resource Type
- Journal article
- Publication Details
- SIAM journal on mathematical analysis, Vol.23(6), pp.1439-1454
- DOI
- 10.1137/0523082
- ISSN
- 0036-1410
- eISSN
- 1095-7154
- Language
- English
- Date published
- 11/1992
- Academic Unit
- Mathematics
- Record Identifier
- 9984083297602771
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