We establish Harnack’s estimates for positive weak solutions to a mixed local and nonlocal doubly nonlinear parabolic equation, of the type $$\begin{aligned} \partial _t\left( |u|^{p-2}u\right) -{\textrm{div}}\,\textbf{A}\left( x,t,u,Du\right) +\mathcal {L}u(x,t)=0, \end{aligned}$$ where vector field $$\textbf{A}$$ satisfies p-ellipticity growth conditions integro-differential operator $$\mathc...

We are concerned with viscous profiles (travelling waves and steady solutions) for mixed hyperbolic-parabolic systems in one space variable. For a class of systems including the compressible Navier Stokes equation, these profiles satisfy a singular ordinary differential equation in the form (0.1) dU dt = 1 ζ(U) F (U). Here U takes values in R and F : R → R is a regular function. The real valued...

AIM To investigate the relationship between histological mixed-type of early gastric cancer (EGC) in the mucosa and submucosa and lymph node metastasis (LNM). METHODS This study included 298 patients who underwent gastrectomy for EGC between 2005 and 2012. Enrolled lesions were divided into groups of pure differentiated (pure D), pure undifferentiated (pure U), and mixed-type according to the...

This paper presents novel approaches for generating sequencing rules for the car sequencing (CS) problem in cases of two and multiple processing times per station. The CS problem decides on the succession of different car models launched down a mixed-model assembly line. It aims to avoid work overloads at the stations of the line by applying so-called sequencing rules, which restrict the maximu...

Language abilities gradually decline as we age, but the mechanisms of this decline are not well understood. The present study investigated comprehension of subject vs. object who and which direct questions (DQs), embedded questions (EQs) and relative clauses (RCs) in 39 cognitively healthy native speakers of Spanish. The elderly participants (n = 21) were further classified according to their s...

A detailed analysis is made of lineup models for eyewitness identification. Previous treatments of eyewitness identification have nol distinguished between the all-suspecl model and the single-suspect model. The single-suspect model allows for the occurrence of foil identifications, a know n-error category, whereas the all-suspect model does not. A Bayesian analysis of posterior probabilities o...