In this paper we give an analytical derivation and numerical evidence of how stability in the
Cauchy problem for the Helmholtz equation grows with frequency. This effect depends on …

We derive some bounds which can be viewed as an evidence of increasing stability in the
problem of recovery of the potential coefficient in the Schrödinger equation from the Dirichlet …

This paper deals with the inverse problem of the wave equation, which is of relevance in
fields such as seismic imaging and ultrasound tomography. We study the problem by Fourier …

In this paper we give analytical evidence of increasing stability in the Cauchy Problem for
the Helmholtz equation with a variable speed of propagation when frequency is growing …

We derive some bounds which can be viewed as an evidence of increasing stability in the
problem of recovering the potential coefficient in the Schr\" odinger equation from the …

We discuss a method for monochromatic inverse scattering in three dimensions of Novikov
in Int. Math. Res. Papers 2005 (6): 287–349, 2005 and implemented numerically in …

We consider the problem of imaging with the wave equation from backscatter. It is well
known that the velocity can be recovered from multi-static measurements provided the …

To show increasing stability in the problem of recovering potential c∈ C¹ (Ω) in the
Schrödinger equation with the given partial Cauchy data when energy frequency k is …

We consider an ultrasonic scanner that consists of two fixed parallel plates covered with
transducers, the object to be imaged being placed between these two plates. We study the …

” Mathematical Imaging” is a notion that was unknown in the mathematical world of the 70-
ties of the last century. By now it has become a lively mathematical discipline. Mathematical …