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BLOW-UP AND LIFE SPAN ESTIMATES FOR A CLASS OF NONLINEAR DEGENERATE PARABOLIC SYSTEM WITH TIME-DEPENDENT COEFFICIENTS 被引量:1
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作者 夏安银 樊明书 李珊 《Acta Mathematica Scientia》 SCIE CSCD 2017年第4期974-984,共11页
This paper deals with the singularity and global regularity tor a class oI nonlinear porous medium system with time-dependent coefficients under homogeneous Dirichlet boundary conditions. First, by comparison principl... This paper deals with the singularity and global regularity tor a class oI nonlinear porous medium system with time-dependent coefficients under homogeneous Dirichlet boundary conditions. First, by comparison principle, some global regularity results are established. Secondly, using some differential inequality technique, we investigate the blow-up solution to the initial-boundary value problem. Furthermore, upper and lower bounds for the maximum blow-up time under some appropriate hypotheses are derived as long as blow-up Occurs. 展开更多
关键词 porous medium systems Dirichlet boundary conditions global existence BLOW-UP upper and lower bounds
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Circuit breakers: Development of testable hypothesis
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作者 Anup Chowdhur Mohammed Masuduzzaman 《Chinese Business Review》 2010年第8期13-31,共19页
In October 1996, The Dhaka Stock Exchange (DSE) adopted trading halts for individual stocks, collectively known as "circuit breakers", to reduce the stock market volatility. This paper reviews the existing circuit... In October 1996, The Dhaka Stock Exchange (DSE) adopted trading halts for individual stocks, collectively known as "circuit breakers", to reduce the stock market volatility. This paper reviews the existing circuit breakers literature and developed five hypothesis--"Magnet Effect", "Cool off-Heating (C-H) Effect", "Information Hypothesis", "Volatility Spillover Hypothesis" and "Trading Interferences Hypothesis"--which could be tested empirically not only in the Dhaka Stock Exchange but any stock exchanges around the world. This paper also suggests most appropriate econometric models for empirical testing. GARCH for inter day data and Event Study methodology for intra day data. Moreover, to test the robustness non-parametric tests need to use along with parametric one. Considering the stock market bubbles in 1996, it has been found that it was optimal for the regulators to adopt this trading halt, but not for the market. It failed to protect the market. However, this might be the consequences of misconceptions about the purpose and effectiveness of circuit breakers. Despite many arguments contrary to this mechanism and absence of any conclusive empirical evidence for a fragile stock exchange like DSE, it may be useful sometimes to replace the "invisible hand of the marketplace" with the "visible hand of the market regulators". 展开更多
关键词 trading halt circuit breakers inter day data and intra day data
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