DETERMINATION OF UNKNOWN THERMAL COEFFICIENTS THROUGH A FREE BOUNDARY PROBLEM FOR A NON LINEAR HEAT CONDUCTION EQUATION WITH A CONVECTIVE TERM

摘要

We determinate unknown thermal coefficients of a semi-infinite material with an overspecified condition on the fixed face following the ideas developed in C, Rogers (ZAMP, 39, 122-128 (1988)) and in D. A. Tarzia (Adv. Appl. Math, 3, 74-82 (1982)). We also obtain formulae for the unknown coefficients and: the necessary and sufficient condition for the existence of solution. (C) 1997 Elsevier Science Ltd. [References: 14]