We are concerned with the problem of recovering the kernel k, depending on time and having a special spatial symmetry, in the parabolic integro-differential equation (1.1) and related to a domain which is union of level sets of each function k(t, ·). We single out a special class of differential operators A and two pieces of suitable additional information for which the problem of identifying k can be uniquely solved locally in time.
Parabolic integro-differential identification problems related to memory kernels with special symmetries / A. Favaron, A. Lorenzi. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 11:1(2003), pp. 67-86. [10.1163/156939403322004946]
Parabolic integro-differential identification problems related to memory kernels with special symmetries
A. LorenziUltimo
2003
Abstract
We are concerned with the problem of recovering the kernel k, depending on time and having a special spatial symmetry, in the parabolic integro-differential equation (1.1) and related to a domain which is union of level sets of each function k(t, ·). We single out a special class of differential operators A and two pieces of suitable additional information for which the problem of identifying k can be uniquely solved locally in time.Pubblicazioni consigliate
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