Applicable Analysis · 2007 · 30 citations · 13 references
Natural SciencesMathematicsComputational MechanicsFluid DynamicsRheologyKernel MethodsRheological ModelingViscoelastic BehaviorViscoelastic PropertiesContinuous Dependence On Initial DataLinear ViscoelasticityMetricsRheological BehaviorViscoelastic FlowViscoelastic Fluid FlowViscoelastic Material ModelingViscoelastic Rheology
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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Inverse problems and Carleman estimates
Michael V. Klibanov · Inverse Problems · 1992 · 363 citations
On Carleman estimates for hyperbolic equations
Oleg Imanuvilov · Asymptotic Analysis · 2002 · 98 citations