Inverse Problems · 1997 · 77 citations · 12 references
Natural SciencesMathematicsPhysicsCorrosion ScienceBoundary ConditionsBoundary-value ProblemsInverse ProblemsInverse Problems In MechanicsNumerical StabilityPartial Differential EquationsBoundary ProblemBoundary Value Problems In ElectrostaticsElectrostatic Boundary-value ProblemsElectrostatic SensingIll-posed Inverse ProblemsIll-posedness AnalysisInverse Boundary-value ProblemsNonlinear Boundary-value Problems
We consider an inverse boundary-value problem arising in questions of nondestructive testing such as corrosion detection by electrostatic measurements. We construct examples which show that, for this problem, logarithmic stability is the best possible.
12