Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction |
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Authors: | L E Payne J C Song |
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Institution: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, N.Y., USA;(2) Department of Mathematics, Hanyang University, 425-791 Ansan, Kyunggido, Korea |
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Abstract: | Using an energy method we investigate the decay of end effects for a generalized heat conduction problem defined on a semi-infinite cylindrical region. With homogeneous Dirichlet conditions on the lateral surface of the cylinder it is shown that solutions either grow exponentially or decay exponentially in the distance from the finite end of the cylinder. The effect of perturbing the equation parameters is also investigated. |
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Keywords: | 35K50 35B20 35B30 35B40 |
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