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The Dirichlet-to-Neumann map for the heat equation on a moving boundary

✍ Scribed by Lillo, S De; Fokas, A S


Book ID
125427238
Publisher
Institute of Physics
Year
2007
Tongue
English
Weight
277 KB
Volume
23
Category
Article
ISSN
0266-5611

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In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ε½ . ⍀;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and