Inverse Problems · 1993 · 60 citations · 3 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsBoundary ConditionsBoundary-value ProblemsInverse Problems In MechanicsScattering AnalysisScattering ProblemsScattering TheoryAsymptotic Boundary ConditionsHelmholtz EquationHelmholtz Inverse ProblemsInverse Boundary-value ProblemsInverse ScatteringScattering By ObstaclesScattering From ObstaclesScattering Inverse Problems
We study stability of recovery of an obstacle D from its scattering amplitude corresponding to the Helmholtz equation Delta u+K2u=0 in the three-dimensional space outside D. We assume u is zero on the boundary of D (soft obstacle). We consider smooth star-shaped and analytic D and obtain double logarithmic type and logarithmic type estimates.
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Uniqueness in inverse obstacle scattering (acoustics)
Andreas Kirsch · Inverse Problems · 1993 · 195 citations