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On a geometric equation with critical nonlinearity on the boundary

✍ Scribed by Felli V., Ahmedou M.O.


Book ID
127403882
Tongue
English
Weight
310 KB
Category
Library

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On Critical Exponents for the Heat Equat
✍ Bei Hu; Hong-Ming Yin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 310 KB

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