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NON-UNIQUENESS FOR A CRITICAL NON-LINEAR HEAT EQUATION

✍ Scribed by Terraneo, Elide

Book ID
120007075
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
344 KB
Volume
27
Category
Article
ISSN
0360-5302

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πŸ“œ SIMILAR VOLUMES

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study a mixed initial value, boundary value problem for a non-linear heat equation and prove uniqueness for the solution. Thii settles in the affirmative a question posed by A. G. Ramm in [l].

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✍ Bei Hu; Hong-Ming Yin πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 741 KB

In this paper we consider a system of heat equations ut = Au, v, = Av in an unbounded domain R c RN coupled through the Neumann boundary conditions u, = up, v, = up, where p > 0, q > 0, p q > 1 and v is the exterior unit normal on aR. It is shown that for several types of domain there exists a criti