On the global wellposedness for the nonlinear Schrödinger equations with L p -large initial data

We consider the Cauchy problem for the nonlinear Schrödinger equations $ \begin{array}{l} iu_t + \triangle u \pm |u|^{p-1}u =0, \qquad x \in \mathbb{R}^d, \quad t \in \mathbb{R} \\ u(x,0)= u_0(x), \qquad x \in \mathbb{R}^d \end{array} $ for 1 < p < 1 + 4/d and prove that there is a ${\rho (p ,d) \in (1,2)}We consider the Cauchy problem for the nonlinear Schr?dinger equations

l iut + \triangle u ±|u|p-1u = 0,        x ? \mathbbRd,     t ? \mathbbR u(x,0) = u0(x),        x ? \mathbbRd \begin{array}{l} iu_t + \triangle u \pm |u|^{p-1}u =0, \qquad x \in \mathbb{R}^d, \quad t \in \mathbb{R} \\ u(x,0)= u_0(x), \qquad x \in \mathbb{R}^d \end{array}      93. Flow injection determination of xanthine oxidase inhibitory activity and its application to food samples.      Le Hoang Lam  Ken Sakaguchi  Hiroyuki Ukeda  Masayoshi Sawamura 《Analytical sciences》2006,22(1):105-109 The enzyme xanthine oxidase (XOD) has been recognized as a key enzyme causing oxidative injury to tissues by ischemia-reperfusion. For this reason, XOD inhibitor, which effectively suppresses this enzyme, plays an important role in the inhibition of many diseases related to reactive oxygen species (ROS). In order to screen XOD inhibitors rapidly and conveniently, a novel assay using flow injection analysis (FIA) was proposed in the present investigation. To optimize the practical FIA system, we studied the effect of the reagent concentrations and the flow condition on the enzymatic reaction, and then selected the optimum condition as follows: 200-mU/ml XOD concentration, 0.5-mM xanthine concentration, 0.5-ml/min flow rate, and 2-m mixing coil length. Under this condition, a typical XOD inhibitor quercetin was determined in the concentration range 0.1 - 1.5 mM at a sampling frequency of 10 samples/h. Using the optimized FIA method, we determined the XOD inhibitory activity of some food samples: onions, apples and teas, which are the high sources of flavonoids known as the potential XOD inhibitors. Among these samples, tea leaves showed the highest activity, the second was onions and the lowest was apples. Based on the result of the assay, not only quercetin, but also other components in investigated samples, contributed to the XOD inhibitory activity.      94. Performance Change of the Oxidative Coupling of Methane Induced by the Modification Effect of Lithium on a Mn-Mg-O Solid Solution      Tohru Kanno  Jun-ichi Horiuchi  Masayoshi Kobayashi 《Reaction Kinetics and Catalysis Letters》2000,70(1):81-89 Lithium made a Mn-Mg-O solid solution stable upon exposure of methane, decreased the ethane and ethylene formation rates, and increased the COx formation rate during the oxidative coupling of methane. On the other hand, on MgO, lithium inhibited COx formation markedly and enhanced the selectivity of ethane 47% to 76%.      95. Synthesis of (Z)‐1‐Aza‐1,3‐enynes by the Cross‐Coupling of Terminal Alkynes with Isocyanides Catalyzed by Rare‐Earth Metal Complexes      Wen‐Xiong Zhang  Masayoshi Nishiura  Zhaomin Hou 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2008,120(50):9846-9849       96. Studies of the polymerization of diallyl compounds. XXV. Gel point in the polymerization of diallyl esters of aromatic dicarboxylic acids      Akira Matsumoto  Shigeyuki Yokoyama  Tetsuro Khono  Masayoshi Oiwa 《Journal of Polymer Science.Polymer Physics》1977,15(1):127-136 Studies on gelation in the radical polymerization of diallyl dicarboxylates have been conducted by Simpson,9,11 Gordon,10 and Oiwa.13 However, the results obtained have not always been consistent and are still far from full elucidations. In this paper, the gel point in the polymerization of diallyl aromatic dicarboxylates, including diallyl phthalate (DAP), diallyl isophthalate (DAI), and diallyl terephthalate (DAT) is experimentally reexamined in detail and discussed according to Gordon's theory; the discrepancy between actual and theoretical gel point conversion was quite large and was enhanced in the order DAT > DAI > DAP. Moreover, from detailed inquiry into the primary chain length of the prepolymer it is suggested that the intramolecular chain transfer reaction plays an important role in the polymerization of diallyl ester accompanying the intramolecular cyclization reaction. The polydispersity coefficient (P w,0/P n,0) of the initial prepolymer of DAP is also estimated to be 2.0 from the extrapolation of P w/P n to zero conversion.      97. Time-resolved optical transmission during pulsed-laser annealing of ion-implanted amorphous silicon-on-sapphire      Hisakazu Kotani  Masayoshi Yamada  Keiichi Yamamoto  Kenji Abe 《Solid State Communications》1982,41(6):461-463 Time-resolved optical transmission of annealing dye laser pulse (wavelength : 590 nm and pulse width : 250 nsec) itself has been measured in thin layers of Si+-implanted amorphized silicon-on-sapphire (SOS) with several energy densities in the range of 0.02 to 2.64 J/cm2. At the energy densities where the amorphized SOS is recrystallized, the transmission exhibits a sudden drop and subsequently remains at a detectable level. This laser-induced absorption is inconsistent with the presence of ordinary molten silicon but suggests an electronic structural-change from amorphous to crystalline state.      98. A facile reaction of trialkylboranes with α-azidostyrene. A convenient and general synthesis of alkyl aryl ketones via hydroboration      Akira Suzuki  Masayoshi Tabata  Michiyasu Ueda 《Tetrahedron letters》1975,16(26):2195-2198       99. Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions      Masayoshi Tsutsumi 《Nonlinear Analysis: Theory, Methods & Applications》1984,8(6):637-643       100. On affine-ruled irrational surfaces      Masayoshi Miyanishi 《Inventiones Mathematicae》1982,70(1):27-43       [首页] « 上一页 [5] [6] [7] [8] [9] 10 [11] [12] [13] [14] [15] 下一页 » 末  页»

Flow injection determination of xanthine oxidase inhibitory activity and its application to food samples.

The enzyme xanthine oxidase (XOD) has been recognized as a key enzyme causing oxidative injury to tissues by ischemia-reperfusion. For this reason, XOD inhibitor, which effectively suppresses this enzyme, plays an important role in the inhibition of many diseases related to reactive oxygen species (ROS). In order to screen XOD inhibitors rapidly and conveniently, a novel assay using flow injection analysis (FIA) was proposed in the present investigation. To optimize the practical FIA system, we studied the effect of the reagent concentrations and the flow condition on the enzymatic reaction, and then selected the optimum condition as follows: 200-mU/ml XOD concentration, 0.5-mM xanthine concentration, 0.5-ml/min flow rate, and 2-m mixing coil length. Under this condition, a typical XOD inhibitor quercetin was determined in the concentration range 0.1 - 1.5 mM at a sampling frequency of 10 samples/h. Using the optimized FIA method, we determined the XOD inhibitory activity of some food samples: onions, apples and teas, which are the high sources of flavonoids known as the potential XOD inhibitors. Among these samples, tea leaves showed the highest activity, the second was onions and the lowest was apples. Based on the result of the assay, not only quercetin, but also other components in investigated samples, contributed to the XOD inhibitory activity.     

Performance Change of the Oxidative Coupling of Methane Induced by the Modification Effect of Lithium on a Mn-Mg-O Solid Solution

Lithium made a Mn-Mg-O solid solution stable upon exposure of methane, decreased the ethane and ethylene formation rates, and increased the COx formation rate during the oxidative coupling of methane. On the other hand, on MgO, lithium inhibited COx formation markedly and enhanced the selectivity of ethane 47% to 76%.     

Studies of the polymerization of diallyl compounds. XXV. Gel point in the polymerization of diallyl esters of aromatic dicarboxylic acids

Studies on gelation in the radical polymerization of diallyl dicarboxylates have been conducted by Simpson,^9,11 Gordon,¹⁰ and Oiwa.¹³ However, the results obtained have not always been consistent and are still far from full elucidations. In this paper, the gel point in the polymerization of diallyl aromatic dicarboxylates, including diallyl phthalate (DAP), diallyl isophthalate (DAI), and diallyl terephthalate (DAT) is experimentally reexamined in detail and discussed according to Gordon's theory; the discrepancy between actual and theoretical gel point conversion was quite large and was enhanced in the order DAT > DAI > DAP. Moreover, from detailed inquiry into the primary chain length of the prepolymer it is suggested that the intramolecular chain transfer reaction plays an important role in the polymerization of diallyl ester accompanying the intramolecular cyclization reaction. The polydispersity coefficient (P _w,0/P _n,0) of the initial prepolymer of DAP is also estimated to be 2.0 from the extrapolation of P _w/P _n to zero conversion.     

Time-resolved optical transmission during pulsed-laser annealing of ion-implanted amorphous silicon-on-sapphire

Time-resolved optical transmission of annealing dye laser pulse (wavelength : 590 nm and pulse width : 250 nsec) itself has been measured in thin layers of Si⁺-implanted amorphized silicon-on-sapphire (SOS) with several energy densities in the range of 0.02 to 2.64 J/cm². At the energy densities where the amorphized SOS is recrystallized, the transmission exhibits a sudden drop and subsequently remains at a detectable level. This laser-induced absorption is inconsistent with the presence of ordinary molten silicon but suggests an electronic structural-change from amorphous to crystalline state.