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Transport Theory and Statistical Physics Volume 29, 2000 - Issue 1-2: Proceedings of the International Conference on Models and Numerical Methods in Transport Theoly and in Mathematical Physics
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Original Articles

On an ILL-posed problem in nonlinear heat conduction

S. Rionero Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Complesso Monte S. Angelo, Edificio T, Via Cintia 80126, Napoli, Italia
&
I. Torcicollo Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Complesso Monte S. Angelo, Edificio T, Via Cintia 80126, Napoli, Italia
Pages 173-186 | Received 31 Jul 1998, Accepted 12 Jul 1999, Published online: 20 Aug 2006
 
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Abstract

An estimate for the thickness and temperature of a vertical sheet of cold ice1, given data on only two points of the upper boundary, is performed. The temperature continuous dependence with respect to the data in a suitable weighted L 2 —norm is studied.

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