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Pointwise and L2 bounds in some nonstandard problems for the heat equation

✍ Scribed by L.E. Payne; P.W. Schaefer

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
94 KB
Volume
284
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 and integral inequalities.

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