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Uniqueness is proven for twonon-overdetermined3-d inverse problems of the determination of the spatially distributed sound speed in the frequency dependent acoustic PDE. The main new point is the assumption that only the modulus of the scattered complex valued wave field is measured on a certain set. The phase is unknown. [ABSTRACT FROM AUTHOR]

A comparative study of various aspects on the globally convergent convexification algorithm for coefficient inverse problems is described. Numerical results of the algorithm with application to detection of antipersonnel land mines are presented. The aspects studied include initial guess and layer size for the layer stripping approach, dimensions of the basis for spatial and pseudo-frequency approximations, the lower limit of the integrals with respect to pseudo-frequency κ, the stopping criteria of steepest descent method in the least squares minimization, the tails to compensate the truncated integration with respect to κ, the parameter λ associated with the Carleman weight function, and adding different noise levels to the input data for the coefficient inverse problems. With our new implementation, the convexification algorithm is very efficient and feasible to be applied in real time to detect antipersonnel land mines in the field. [ABSTRACT FROM AUTHOR]

Two distributed Partial Differential Equations-based (PDES-based) mathematical models of propagation of computer viruses are derived for the first time. It is shown that experimental studies and inverse problems should be two main topics of further research of these models. The recently developed so-called globally convergent convexification numerical method of the author and Timonov is a good candidate to be a base of corresponding inverse algorithms. [ABSTRACT FROM AUTHOR]

A preface to the journal "Applicable Analysis" is presented.