We obtain Strichartz estimates for the fractional heat equations by using both the abstract Strichartz estimates of Keel-Tao and the HardyLittlewood-Sobolev inequality. We also prove an endpoint homogeneous Strichartz estimate via replacing L∞x (R ) by BMOx(R) and a parabolic homogeneous Strichartz estimate. Meanwhile, we generalize the Strichartz estimates by replacing the Lebesgue spaces with...

For a class of diffusion schemes not satisfying the property of positivity-preserving, we propose an enforcing positivity algorithm. It is locally conservative and easy to be implemented in existing codes. Moreover, this algorithm can be performed on both structured and unstructured meshes. Numerical experiments demonstrate that in terms of L2 error and conservation this algorithm is much bette...

In the present study, polysaccharides named ALPS and ASPS were isolated from Ampelopsis grossedentata leaves and stems, respectively. Physicochemical properties, in vitro antioxidant activities and the inhibitory effects on α-glucosidase of ALPS and ASPS were investigated. It was found that both ALPS and ASPS were acid protein-bound heteropolysaccharides, although with considerably different ch...

The car-following model is a basic model of microscopic traffic simulation. The complexity of car-following behavior is suggested by a large number of factors that influence car-following behavior. Moreover, as shown repeatedly in laboratory studies of human performance, humans are very adaptable and will develop new strategies for new situations. Meanwhile, human performance and the informatio...

P2P network is open, anonymous and dynamical in contrast with conventional network. It’s full of dishonesty, deceit, selfishness. It’s necessary to build a robust security infrastructure system. The one important module of security infrastructure is to identify the users in transactions. This paper will propose an identification solution based on PKI. In our algorithm, the peer generates their ...

An hybrid SVM-symbolic architecture for classification tasks is proposed in this work. The learning system relies on a support vector machine (SVM), meanwhile a rule extraction module translate the embedded knowledge in the trained SVM in the form of symbolic rules. The new representation is useful to understand the nature of the problem and its solution. Moreover, a rule insertion module in th...

Traumatic brain injury (TBI) may cause neurological damage, but an effective therapy and the associated mechanisms of action have not yet been elucidated. A TBI model was established using the modified Feeney method. A2B5+ cells, an oligodendroglial progenitor, were acquired from induced pluripotent stem cells (iPSCs) by mouse embryonic fibroblasts and were transplanted into the injured site. T...