In this paper we recover two unknown kernels related to a thermal body W with memory consisting of two different sub-bodies W1 and W2, when the boundaries of W1 and W2 have a common (closed) surface G intersecting the boundary @W of W. The additional measurements are performed on two (accessible) subsets of @W1 and @W2. For this problem we prove existence, uniqueness and continuous dependence on the data in the framework of Sobolev spaces of L2-type in space.
Recovering memory kernels in parabolic transmission problems / J. Janno, A. Lorenzi. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 16:3(2008), pp. 239-265.
Recovering memory kernels in parabolic transmission problems
A. LorenziUltimo
2008
Abstract
In this paper we recover two unknown kernels related to a thermal body W with memory consisting of two different sub-bodies W1 and W2, when the boundaries of W1 and W2 have a common (closed) surface G intersecting the boundary @W of W. The additional measurements are performed on two (accessible) subsets of @W1 and @W2. For this problem we prove existence, uniqueness and continuous dependence on the data in the framework of Sobolev spaces of L2-type in space.
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