This work is on the numerical approximation of incoming solutions to Maxwell's equations with dissipative boundary conditions, whose energy decays exponentially with time. Such solutions are called asymptotically disappearing (ADS) and they play an important role in inverse back-scattering problems. The existence of ADS is a difficult mathematical problem.… (More)
In this work we study the existence of global solution to the semilinear wave equation (∂
The paper presents an overview of the image-processing techniques. The set of basic theoretical instruments includes methods of mathematical analysis, linear algebra, probability theory and mathematical statistics, theory of digital processing of one-dimensional and multidimensional signals, wavelet-transforms and theory of information. This paper describes… (More)
Here we prove results about Riesz summability of classical La-guerre series, locally uniformly or on the Lebesgue set of the function f such that ∞ 0 (1 + x) mp |f (x)| p dx 1/p < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.