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《Acta Analysis Functionalis Applicata》 2009-01
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Distributional Solutions of the Boltzmann Equation

HE Qin1, WEI Ziqing2, TIAN Yong3 1. School of Mathematical Sciences, Xuchang University, Xuchang 461000, China 2. Department of Public Teaching, BlueSky University, Nanchang 330098, China 3. Department of Mathematics, Jiangxi Agricutural University, Nanchang 330045, China  
We discuss the Cauchy problem of the Kac equation. we proved that, the Kac equation has an unique global distributional solution. And proved that this solution can be controlled by the initial value, with a new linearization-method.
【CateGory Index】: O175
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