Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions

الملخص EN

We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d≥3.

Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity.

In addition, a global logarithmic stability estimate for this inverse problem in dimension d=2 is also given.