Analysis of problem in mathematical model for shadowed sputtering (Q1581141)

The authors consider non-standard first kind integral equations of the form \[ \int\limits_Q k(x,y) u(x+y,y) dy = f(x), \quad x\in R, \] where \(Q\), \(R\) are compact sets in \(\mathbb{R}^2\), \(k\) and \(f\) are given functions and \(u\) is the unknown source function. The equation occurs in direct and inverse problems of shadowed sputtering. The paper reviews mapping properties of the integral operators and the applicability of Tikhonov regularization methods. However, at many places the English is difficult to interpret.