An inverse problem for identification of a time- and space-dependent memory kernel of a special kind in heat conduction

Abstract

In this paper an inverse problem for identification of a memory kernel in heat conduction is dealt with where the kernel is represented by a finite sum of products of known spatially-dependent functions and unknown time-dependent functions. Using the Laplace transform method an existence and uniqueness theorem for the memory kernel is proved.

Identifiers

DOI

10.1088/0266-5611/15/6/305

Citations and references