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Some nonstandard problems in generalized heat conduction

โœ Scribed by L. E. Payne; P. W. Schaefer; J. C. Song


Publisher
Springer
Year
2005
Tongue
English
Weight
146 KB
Volume
56
Category
Article
ISSN
0044-2275

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Pointwise and L2 bounds in some nonstand
โœ L.E. Payne; P.W. Schaefer ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

We consider some initial-boundary value problems for the linear and nonlinear heat equation where the gradient of the solution is prescribed on the boundary. Assuming that a solution exists, we obtain bounds for the solution and its gradient by maximum principle arguments or by means of differential