On Critical Exponents for the Heat Equat
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Bei Hu; Hong-Ming Yin
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Article
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1997
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Elsevier Science
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English
β 310 KB
In this paper we consider the heat equation u s β¬ u in an unbounded domain t N Ε½ . β;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