Recovering a Lamé kernel in a viscoelastic system

Abstract

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.

§A. Lorenzi and F. Messina are members of the research group G.N.A.M.P.A. of the Italian Instiuto Nazionale di Alta Matematica (INdAM).

Keywords:

• Inverse problem
• Viscoelastic system
• Recovering a kernel
• AMS Subject Classifications
• Primary 45Q05
• Secondary 45K05

Acknowledgement

V.G. Romanov was partly supported by the Russian Foundation for Basic Research (grant No. 05-01-00559).

Notes

§A. Lorenzi and F. Messina are members of the research group G.N.A.M.P.A. of the Italian Instiuto Nazionale di Alta Matematica (INdAM).