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

We prove new global H"older-logarithmic stability estimates for the near-field inverse scattering problem in dimension $d\ge 3$. 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.