Energy- and regularity-dependent stability estimates for near-field inverse scattering in multidimensions (Q355683)

Summary: We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension \(d \geq 3\). 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.