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Recovering a Lamé kernel in a viscoelastic system

Alfredo LorenziDepartment of Mathematics , “F. Enriques” of the Universitá degli Studi di Milano , via Saldini 50, 20133 Milano , ItalyFrancesca MessinaDepartment of Mathematics , “F. Enriques” of the Universitá degli Studi di Milano , via Saldini 50, 20133 Milano , ItalyV. G. RomanovSobolev Institute of Mathematics , Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp., 4 , Novosibirsk 630090 , Russia
2007en
ABI

Аннотация

In the equation of viscoelasticity related to a geometric cylinder, we recover the spatial part p of a factorized Lamé kernel depending on two spatial sectional variables. More explicitly, we determine sufficient conditions on the data ensuring the (local) uniqueness of p and its continuous dependence on the data in suitable metrics.

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