We study the obstacle problem for integro-differential operators of order 2s, with s ∈ (0, 1). Our main result establishes that the free boundary is C and u ∈ C near all regular points. Namely, we prove the following dichotomy at all free boundary points x0 ∈ ∂{u = φ}: (i) either u(x)− φ(x) = c d(x) + o(|x− x0|) for some c > 0, (ii) or u(x)− φ(x) = o(|x− x0|), where d is the distance to the con...

For decades, exercise has been considered a cornerstone of diabetes management, along with diet and medication. However, high-quality evidence on the importance of exercise and fitness in diabetes was lacking until recent years. The last American Diabetes Association (ADA) technical review of exercise and type 2 diabetes (formerly known as non–insulin dependent diabetes) was published in 1990. ...

the purpose of this research is to analyze heat waves characteristics in the warm period of the year as a climatic hazard in iran. in this study, the daily maximum temperature is taken at 44 synoptic stations during the period 1981-2010. these temperature values were used to extract the intensity, frequency and duration of heat waves using percentile thresholds of 90, 95, and 98. the results sh...

abstract variation of climatic elements could be estimated by standard deviation, coefficients of variation and so on. in iranian climatological literature, variations of climatic elements have main attention during last decades. meanwhile worldwide climatologist desired to study the characteristics of variations as well as the distribution of frequency average of these elements. in this paper,...