A time-dependent free boundary problem modeling the visual image in electrophotography (Q1309697)
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scientific article; zbMATH DE number 474493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A time-dependent free boundary problem modeling the visual image in electrophotography |
scientific article; zbMATH DE number 474493 |
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A time-dependent free boundary problem modeling the visual image in electrophotography (English)
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10 April 1995
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The authors study a time-dependent free boundary problem arising in electrophotography: The formation of a visual image can be modeled through the electric potential \(-u\) satisfying \(\Delta u=1\) in the toner region and \(\Delta u=0\) outside this region. On the moving interface between the two regions an interface condition has to be added. It is shown that this problem has a smooth local solution which, for a special version of the interface condition, turns out to be unique.
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elliptic time dependent problems
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uniqueness
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smooth local solution
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0.9147474
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0.90815824
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0.87442887
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0.8569592
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0.85566515
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0.84922004
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0.8451321
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