Stable determination of an impedance obstacle by a single far-field measurement
Stable determination of an impedance obstacle by a single far-field measurement
Abstract We establish sharp stability estimates of logarithmic type in determining an impedance obstacle in <?CDATA $\mathbb{R}^2$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:math> . The obstacle is the polygonal shape and the surface impedance parameter is non-zero constant. We establish the stability results using a …