On a pp-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory

We study the Cauchy problem for an $p$-Laplacian type of evolution system {\mathbf H}_{t}+\g [ | \g {\mathbf H}|^{p-2} \g {\mathbf H}|]={\mathbf F}. This system governs the evolution of a magnetic field ${\bf H}$, where the current displacement is neglected and the electrical resistivity is assumed to be some power of the current density. The existence, uniqueness and regularity of solutions to the system are established. Furthermore, it is shown that the limit solution as the power $p\rightarrow \infty$ solves the problem of Bean's model in the type-II superconductivity theory. The result provides us information about how the superconductor material under the external force to become the normal conductor and vice visa. It also provides an effective method to find numerical solutions to Bean's model

"Domestic Innovation and Chinese Regional Growth, 1991-2004"

We examine the return to innovation in terms of economic growth at the provincial level to assess whether or not policies that promote R&D, such as China’s Science and Technology Policy, have been productive for all of China’s regions. The return to innovation at the provincial level is estimated using a value-added Cobb-Douglas production function. The measure of the effect of innovation (patenting activity) is valued-added industrial output. The data are a balanced panel for 30 provinces for the period 1991-2004. We find that the production function including innovation fits the Chinese provincial level data well. These estimates indicate that technology plays a positive role in industrial growth at the provincial level; however, the contribution of technology is far too small, which indicates that China’s economic growth is largely driven by the factor inputs. The results support the views that the linkages between innovation activity and commercialization of new technology are weak within Chinese domestic firms which have difficulties in exploiting and adopting the new technologies. The results also indicate that the inter-regional technology spillovers are positive but relatively small and weak, compared to the European regions and the states in the US. The estimated results further confirm that the impact of industrial reforms during the period of 1994-99 on China’s technological development is negative, as there seems to be neither exogenous technical progress nor technology’s contribution to the value-added industrial output during those years.China, patents, productivity, innovation, regions

Do Stronger Intellectual Property Rights Protection Induce More Bilateral Trade? Evidence from China's Imports

Most of the previous studies on the effect of IPR protection on international trade have been from the perspective of major industrialized nations. However, much of the current debate on the effects of IPR protection involves large developing countries with high threat of imitation. This study contributes to the literature by analyzing the impact of the strengthening of patent laws in China on its bilateral trade flows. We estimate the effects of patent rights protection on China’s imports at the aggregate and detailed product categories for both OECD (developed) and non-OECD (developing) countries. The empirical results suggest that increased patent rights protection stimulate China’s imports, particularly in the knowledge-intensive product categories. Furthermore, while the evidence in support of the market expansion effect is significant for imports from OECD countries, it is rather weak and mostly insignificant for imports from non-OECD countries.Intellectual property rights, patent laws, international trade, International Relations/Trade, F13, 034,

Topological phase in 1D1D topological Kondo insulator: Z2Z_{2} topological insulator, Haldane-like phase and Kondo breakdown

We have simulated a half-filled $1D$ $p$-wave periodic Anderson model with numerically exact projector quantum Monte Carlo technique, and the system is indeed located in the Haldane-like state as detected in previous works on the $p$-wave Kondo lattice model, though the soluble non-interacting limit corresponds to the conventional $Z_{2}$ topological insulator. The site-resolved magnetization in an open boundary system and strange correlator for the periodic boundary have been used to identify the mentioned topological states. Interestingly, the edge magnetization in the Haldane-like state is not saturated to unit magnetic moment due to the intrinsic charge fluctuation in our periodic Anderson-like model, which is beyond the description of the Kondo lattice-like model in existing literature. The finding here underlies the correlation driven topological state in this prototypical interacting topological state of matter and naive use of non-interacting picture should be taken care. Moreover, no trace of the surface Kondo breakdown at zero temperature is observed and it is suspected that frustration-like interaction may be crucial in inducing such radical destruction of Kondo screening. The findings here may be relevant to our understanding of interacting topological materials like topological Kondo insulator candidate SmB$_{6}$.Comment: 11 pages, 9 figures, accepted by EPJ