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Article

Azari, Hossein ; Liu, Tang ; Zhang, Shuhua
Identification of parameters in parabolic inverse problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 1-13
MSC: 35K20, 35R30 | MR 3204396 | Zbl 1313.35141
Keywords:
parabolic equation; parameter identification; inverse problem
Summary:
In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.
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