Integral equations and boundary value problems for eliptic partial differential equations
Integral repesentations and its applications in Clifford analysis.
Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...
Inversion of the Cauchy integral taken over the double periodic line.
Investigation of a certain system of singular integral equations of arbitrary power