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Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition

✍ Scribed by Guosheng Zhang; Yifu Wang


Book ID
108201007
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
226 KB
Volume
54
Category
Article
ISSN
0895-7177

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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