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Carleman estimate and an inverse source problem for the Kelvin-Voigt model for viscoelasticity. (arXiv:1809.06764v1 [math.AP])
来源于:arXiv
We consider the Kelvin-Voigt model for the viscoelasticity, and prove a
Carleman estimate for functions without compact supports. Then we apply the
Carleman estimate to prove the Lipschitz stability in determining a spatial
varying function in an external source term of Kelvin-Voigt model by a single
measurement. Finally as a related system, we consider an isothermal
compressible fluid system and apply the Carleman estimate to establish the
Lipschitz stability for an inverse source problem for the compressible fluid
system. 查看全文>>