4,049 research outputs found

    Viscosity solutions to parabolic complex Monge-Amp\`ere equations

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    In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Amp\`ere equations on a strongly pseudoconvex domain by the viscosity method. We extend the results in [EGZ15b] on the existence of solution and the convergence at infinity. We also establish the H\"older regularity of the solutions when the Cauchy-Dirichlet data are H\"older continuous.Comment: 35 pages. arXiv admin note: text overlap with arXiv:1407.2494 by other author

    Some new properties of the Lagrange function and its applications

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    THE APPLICATION OF FOOTWORK EXERCISES TO IMPROVE PHYSICAL FITNESS FOR FEMALE BADMINTON ATHLETES

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    The purpose of this study was to find out the footwork exercises to improve physical fitness for female badminton athletes at Saigon University. 24 female badminton athletes volunteered and were selected who were divided randomly into two groups (12 athletes in the experimental and 12 athletes in the control group). 04 evaluation tests were selected to identify the physical fitness of female badminton athletes, such as the jump rope, back and forth repetitions, left and right across the court, and B endurance (quickly touch 4 points). The 20-footwork exercise was selected and applied to the experimental group, while the control group practiced according to a pre-determined 15-week training program. The results indicated that there were significant differences between before and after the experimental (after the application of the 20-footwork exercise) in all evaluation tests. Therefore, the application of the 20-footwork exercise had better physical development in wrist strength, sideways reaction, front-back reaction, and speed endurance in the experimental group than in the control one. In conclusion, footwork exercises for female athletes in badminton were really effective for improving physical fitness and might be added to annual training for the next training periods.  Article visualizations
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