5,399 research outputs found

    Rings whose multiples are direct summands

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    Global well-posedness for a L2L^2-critical nonlinear higher-order Schr\"odinger equation

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    We prove the global well-posedness for a L2L^2-critical defocusing cubic higher-order Schr\"odinger equation, namely i∂tu+Λku=−∣u∣2u, i\partial_t u + \Lambda^k u = -|u|^2 u, where Λ=−Δ\Lambda=\sqrt{-\Delta} and k≥3,k∈Zk\geq 3, k \in \mathbb{Z} in Rk\mathbb{R}^k with initial data u0∈Hγ,γ>γ(k):=k(4k−1)14k−3u_0 \in H^\gamma, \gamma>\gamma(k):=\frac{k(4k-1)}{14k-3}.Comment: Revised Versio

    Building Up and Improvement of the Institution of the Socialist Oriented Market Economy in Vietnam

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    The market oriented economic reform direction has been officially affirmed since the VI Congress of the Vietnamese Communist Party (1986) with the approval of the economic reform plan towards doi moi. This direction was then legalized in the Constitution (1992) and further developed in official documents of Communist Party Congresses and legal documents of the Government of Vietnam . In the past years, to specify this political direction, the Government and people of Vietnam have made endless efforts to establish a new economic institution system called the socialist oriented market economy.Vietnam, Transitional Economy, Socialist Oriented Market Economy
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