Sharp Strichartz inequalities for fractional and higher order Schrödinger equations

We investigate a class of sharp Fourier extension inequalities on the planar curves s=|y|p, p>1. We identify the mechanism responsible for the possible loss of compactness of nonnegative extremizing sequences, and prove that extremizers exist if 1<p<p0 for some p0>4. In particular, this resolves the dichotomy of Jiang, Pausader, and Shao concerning the existence of extremizers for the Strichartz inequality for the fourth-order Schrödinger equation in one spatial dimension. One of our tools is a geometric comparison principle for n-fold convolutions of certain singular measures in Rd, developed in the companion paper of Oliveira e Silva and Quilodrán (Math. Proc. Cambridge Philos. Soc., (2019)). We further show that any extremizer exhibits fast L2-decay in physical space, and so its Fourier transform can be extended to an entire function on the whole complex plane. Finally, we investigate the extent to which our methods apply to the case of the planar curves s=y∣∣y∣∣p−1, p>1

Kinetics of Chlorination of Tantalum Pentoxide with Carbon Tetrachloride

Tantalum chloride is used as a feed material for the plasma reduction using hydrogen and in the chloride bath fused salt electrolysis routes to produce tantalum. Most of the tantalum, however, occurs in nature in the oxide form. The traditional chlorination process employs gaseous chlorine and carbon as reductant at high temperatures (1073-1273 K). Use of carbon tetrachloride as the chlor- inating agent is expected to reduce the chlorination tem-peratures significantly resulting in lower energy cons-umption and cost of capital equipment for chlorination. The purpose of the present study was to explore the use of carbon tetrachloride as an alternative chlorinating agent for Ta205. The kinetics of chlorination of pure tantalum pentoxide powders with carbon tetrachloride in nitrogen atmosphere was investigated in the temperature range 733-853 K and Pccia in the range 20-60 kPa. The kinetic results were found to conform to a diffusion controlled reaction model. Equilibrium conversions to chloride and the gas phase composition at different temperatures and partial pressures of CCI4 were calculated using the free energy minimisation technique

Synthesis and characterization of copper coatings on polyimide membranes (PIR 003)

The formation of stable metallic/polymeric joints is a huge challenge in the materials sciences. Adhesion requires interphase that is able to specifically interact with the metallic phase. The primary amino groups exhibit copolymers as highly reactive to metal surfaces. This article will give a better understanding of the mechanisms of chemo-absorption by chemical functionalization of polyimides, as well as in the wet development of metallization of materials based on H2 reduction in polymers. And it will be evidenced by comparisons by measures of polymer/metal characterization.Campus Arequip

Distribución de los asimilados en sorgo de Alepo (<i>Sorghum halepense</i>) : Destinos de las hojas y la panoja del vástago principal, mediante el uso de glucosa C<SUP>14</SUP>

El objetivo del trabajo fue determinar cuantitativamente en plantas de sorgo de Alepo, la distribución de asimilados en las hojas recientemente expandidas del vastago principal, desde la hoja número 5 hasta la hoja 11 (hoja bandera). Plantas provenientes de semillas, se cultivaron en hidroponia y luz solar directa. Las hojas se marcaron en el envés con glucosa [C14(U)]. A las 24 h las plantas se disecaron en: raíces, rizomas, tallo, hojas expandidas y no expandidas, macollas, yemas y ápice. La hoja marcada se separó en: zona sembrada y resto de la hoja. El material vegetal se llevó a estufa a 80°C hasta peso seco. Las muestras se digestaron con OHNa 9N a temperatura ambiente y se homogeneizaron. A 1 mi del homogeneizado se le agregó 5 mi de solución centelladora Bray + cab-o-sil al 5%, midiéndose su actividad en un contador de centelleo líquido, Beckman LS 100C. Las raíces fueron un fuerte destino, recibiendo el 46% de los asimilados que exportaba la hoja 5, mientras que de la hoja 7 recibía el 15% y el 6,3% de la hoja 10. En el caso de la hoja bandera fue el 9,33%. Las hojas no expandidas fueron también un fuerte destino: 22% para la hoja 5 y más de un 25% para las restantes hojas marcadas. Las yemas rompieron la dominancia apical a partir de la 6la hoja expandida y fueron un destino importante para la hoja 6, ya que recibieron el 9,5% de lo exportado, aumentando hasta alcanzar aproximadamente el 15% para cada una de las hojas 8, 9 y 10. La hoja bandera sólo exportó el 6,5% hacia las yemas. El tallo como destino de las hojas fue cada vez más importante durante el crecimiento de la planta. De la hoja 5 recibió el 5.5% y de la 10, el 29%. Los destinos de mayor importancia para la hoja bandera fueron la panoja y el tallo de hojas expandidas (28% cada unoj.La raíz como destino de asimilados de las hojas recientemente expandidas fue disminuyendo con el crecimiento de la planta; paralelamente la zona de activo crecimiento (tallos y hojas no expandidas) se fueron convirtiendo en un fuerte destino. Las yemas también fueron un fuerte destino desde que iniciaron su crecimiento, excepto para la hoja bandera, cuyo destino más importante de asimilados fue la porción reproductiva de la planta.The aim of this work was the cuantitative determination of assimilates distribution in Johnsongrass plants showing between 5 and 11 leaves along the main shoot. Plants grown from seeds, were cultivated in hydroponia under direct sun ligth. The latest expanded leaves were labelled at the down side with glucose [14C(U)] and 24 h latter, plants were dissected in root, rhizome, stem, expanded leaves and non expanded leaves, apex and buds. The labelled leaf was separated in a sown zone and the rest of it. Both and each dissected part plant were taken to dried weight at 80°C . The samples were digested with OHNa 9N at room temperature and homogenated. A 1 mi sample was theh added to 5 mi of Bray solution plus cab-o-sil at 5%. The radioactivity was determined using a liquid scentillátion counter Beckman LS lOOC.Roots were a dominant sink, receiving 46 % ,15 % y 6.3 % of assimilates coming from leaves number 5, 7 and 10 respectively. The flag leaf received 9.33 %. Non expanded leaves were also a dominant sink, receiving 22% from the 5lh leaf and more than 25% from the others leaves. The panicle was an important source to the roots, too. When the plant expanded its 6th leaf, the apical dominance is broken. At this moment the buds become an important sink for assimilates coming from the 6th leaf (9.5%). From each 8, 9 and 10 leaves, the buds received 15% of the exported assimilated. The flag leaf exported only 6.5% to the buds. The growing stems and the apex were increasing sink from the 5"' to 10lh leaves (5.5% to 29%). The panicle and the stern of the ex panded leaves were the most important sink for the flag leaf (28% each). During the plant is growing, the roots became a less important sink for the assimilates coming from the last expanded leaves. Simultaneously, the active growth región of the plant (stern and non expanded leaves) became a dominant sink. The buds were also important sink for the last expanded leaves since they started growing. However, this was not true for the flag leaf whose most important sink was the reproductive structures of the plant.Instituto de Fisiología Vegeta

Levels of expression and immunogenicity of attenuated Salmonella enterica serovar typhimurium strains expressing Escherichia coli mutant heat-labile enterotoxin

The effects of heterologous gene dosage as well as Salmonella typhimurium strain variability on immune response toward both the heterologous antigen, the nontoxic mutant of the Escherichia coli heat-labile enterotoxin LTK63, and the carrier Salmonella strain have been analyzed, Effects of a single integration into the host DNA and different-copy-number episomal vectors were compared in S. typhimurium Delta cya Delta crp Delta asd strains of two different serotypes, UK-1 and SR-11, Expression of the enterotoxin in the different Salmonella isolates in vitro was found to vary considerably and, for the episomal vectors, to correlate with the plasmid copy number, LTK63-specific serum immunoglobulin G (IgG) and mucosal immunoglobulin A (IgA) antibodies were highest in mice immunized with the high-level-expression strain. High anti-LTK63 IgG and IgA titers were found to correspond to higher anti-Salmonella immunity, suggesting that LTK63 exerts an adjuvant effect on response to the carrier. Statistically significant differences in anti-LTK63 immune response were observed between groups of mice immunized with the attenuated Delta cya Delta crp UK-I and SR-II derivatives producing the antigen at the same rate, These data indicate that the same attenuation in S, typhimurium strains of different genetic backgrounds can influence significantly the immune response toward the heterologous antigen. Moreover, delivery of the LTK63 enterotoxin to the immune system by attenuated S. typhimurium strains is effective only when synthesis of the antigen is very high during the initial phase of invasion, while persistence of the S. typhimurium strain in deep tissues has only marginal influence.66122423

Spectroscopic evaluation of charcoal derived humic-like acid.

The aim of this work is to study the suitability of using different charcoals in order to produce humic-like acid. Fluorescence and UV-visible spectroscopy were applied to evaluate the humidification degree by using different index: E4/E6 (2, 8), A254/A465 (8) (UVVis spectroscopic); I400/I360 (4) and I470/I360 (4) (fluorescence spectroscopy in synchronousscan mode); A440 (5) and A4/A1 (9) (fluorescence spectroscopic in emission scan)

Effect of Vitamin D Supplementation on Obesity-Induced Insulin Resistance: A Double-Blind, Randomized, Placebo-Controlled Trial

Objective: The aim was to investigate whether vitamin D supplementation, combined with a hypocaloric diet, could have an independent effect on insulin sensitivity in subjects with both overweight and hypovitaminosis D. Changes from baseline in anthropometric parameters, body composition, glucose tolerance, and insulin secretion were considered as secondary outcomes. Methods: Eighteen volunteers who were nondiabetic and vitamin D deficient and had BMI > 25 kg/m2 were randomized (1:1) in a double-blind manner to a hypocaloric diet + either oral cholecalciferol at 25,000 IU/wk or placebo for 3 months. Hyperinsulinemic-euglycemic clamp to measure insulin sensitivity was performed at baseline and after intervention. Results: Body weight in both groups decreased significantly (−7.5% in the vitamin D group and −10% in the placebo group; P < 0.05 for both), with no between-group differences. Serum 25-hydroxyvitamin D levels in the vitamin D group increased considerably (from 36.7 ± 13.2 nmol/L to 74.8 ± 18.7 nmol/L; P < 0.001). Insulin sensitivity in the vitamin D group improved (from 4.6 ± 2.0 to 6.9 ± 3.3 mg·kg−1·min−1; P < 0.001), whereas no changes were observed in the placebo group (from 4.9 ± 1.1 to 5.1 ± 0.3 mg·kg−1·min−1; P = 0.84). Conclusions: Cholecalciferol supplementation, combined with a weight loss program, significantly improves insulin sensitivity in healthy subjects with obesity and might represent a personalized approach for insulin-resistant subjects with obesity