Source inversion of heat conduction from a finite number of observation data

作者：Castro L P^*; Chen Q; Saitoh S

来源：Applicable Analysis, 2010, 89(6): 801-813.

DOI：10.1080/00036810903569523

• Gaussian convolution
• Weierstrass transform
• heat conduction
• reproducing kernel
• Paley-Wiener space
• Tikhonov regularization

This article deals with a backward heat conduction type problem. Namely, the Gaussian convolution is here analysed in a new way so that inverse source formulae to the heat conduction problem are obtained from a finite number of observation data at time and space points. In view of obtaining this main goal, different reproducing kernel Hilbert spaces, iteration schemes and Tikhonov regularization procedures are used and combined in an unified way.

• 出版日期2010