The paper is devoted to the mathematical analysis of Cauchy problem for general cross-diffusion systems without any assumption about its entropic structure. A global existence result nonnegative solutions obtained by applying a classical Schauder fixed point theorem. proof upgraded enhancing regularity solution, namely gradient belongs space Lr((0,T)×Ω) some r>2. To this aim, Schauder's strateg...

Background and Objective: Nowadays, incidence of antibiotic-resistance among pathogenic bacteria has increased due to indiscriminate use of antimicrobial drugs for treatment of diseases, especially urinary tract infections. Medicinal plants are also of great importance as antibacterial agents. Therefore, the aim of this study was to determine the antibacterial effect of ethanolic extract of n...

This paper discusses the extension of nonlinear diffusion filters to higher derivative orders. While such processes can be useful in practice, their theoretical properties are only partly understood so far. We establish important results concerning L-stability and forwardbackward diffusion properties which are related to well-posedness questions. Stability in the L-norm is proven for nonlinear ...

background :   this study aimed to evaluate antibacterial effect of allium sativum, garlic extract on erythromycin and methicillin resistant bacteria isolated from an operating room in a teaching hospital in tehran, i.r. iran.   methods :   the antibacterial effect of garlic extract was investigated on 70 bacterial strains. the selected isolates were resistant to erythromycin and or methicillin...

Many reasons can be cited for the desire to harness the power of nonlinear anisotropic diffusion in image processing. Perona and Malik proposed one of the pioneering models which, while numerically viable, proves mathematically ill-posed. This discrepancy between its analytical properties and those of its numerical implementations spurred a significant amount of research in the past twenty year...

Nonlinear diffusions have successfully been employed to perform a variety of tasks in image processing. In the context of denoising, the Perona-Malik equation is a particularly successful example. In spite of its cherished qualities, it is mathematically ill-posed and has some practical short-comings. In this short paper a new nonlocal nonlinear diffusion is reported upon, which is locally well...