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On a PDE Involving the Variable Exponent Operator with Nonlinear Boundary Conditions

✍ Scribed by Rasouli, S. H.

Book ID
124052325
Publisher
SP Birkhäuser Verlag Basel
Year
2014
Tongue
English
Weight
336 KB
Volume
12
Category
Article
ISSN
1660-5446

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✍ Bei Hu; Hong-Ming Yin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 310 KB

In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ž . ⍀;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