The present paper is concerned with a space-time homogenization problem for nonlinear diffusion equations periodically oscillating (in space and time) coefficients. Main results consist of theorem (i.e., convergence solutions as the period oscillation goes to zero) well characterization homogenized equations. In particular, matrices are described in terms cell-problems, which have different for...

The goal of this paper is to study a nonlinear model for some chemical reactive flows involving diffusion, adsorption and chemical reactions which take place at the boundary and also in the interior of a periodically perforated material. The effective behavior of such flows is governed by another nonlinear boundary-value problem, which contains extra zero-order terms and captures the effect pro...

The error diffusion halftoning method preserves details well, but produces some unwanted regular texture patterns. The purpose of this paper is to introduce certain nonlinear operators with small kernels for the error diffusion to reduce the regular patterns. The goal is to suppress pattern artifacts while maintaining a small neighborhood. The method employed uses nonlinear diffusion operators,...

This paper proposes a method for speckle reduction in medical ultrasound imaging while preserving the edges with the added advantages of adaptive noise filtering and speed. A nonlinear image diffusion method that incorporates local image parameter, namely, scatterer density in addition to gradient, to weight the nonlinear diffusion process, is proposed. The method was tested for the isotropic c...