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Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 2
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Original Articles

On a nonstandard problem for heat conduction in a cylinder

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Pages 125-133 | Received 09 May 2003, Published online: 25 Jan 2007
 

Abstract

Decay bounds are derived for the solution of a heat conduction problem in a semi-infinite cylinder when the lateral surface is held at zero temperature, a nonzero temperature is prescribed on the finite base, and the temperature at time T is prescribed to be a constant multiple of the temperature at initial time. Both energy and pointwise decay bounds are computed for a range of values of the constant multiple. Such problems were originally introduced as a means of stabilizing the backward-in-time problem for the heat equation.

Notes

Additional information

Notes on contributors

P.W. Schaefer

†E-mail: [email protected] * E-mail: [email protected]

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