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连续函数空间上迁移方程解的渐近展开
引用本文:宋德功,杨根科.连续函数空间上迁移方程解的渐近展开[J].西安交通大学学报,1995,29(6):101-107.
作者姓名:宋德功  杨根科
作者单位:西安交通大学,太原重型机械学院
摘    要:在连续函数空间上讨论有界凸体内能量零隔离的粒子迁移系统。利用算子积分半群理论。证明了系统解的存在唯一性,并给出解在max范数意义下的渐近展开。

关 键 词:迁移方程  连续函数空间  渐近展开

ASYMPTOTIC EXPANSION OF THE SOLUTION OF TRANSPORT EQUATION IN THE SPACE OF CONTINUOUS FUNCTIONS
Song Degong,Peng Jigen,Yang Genke.ASYMPTOTIC EXPANSION OF THE SOLUTION OF TRANSPORT EQUATION IN THE SPACE OF CONTINUOUS FUNCTIONS[J].Journal of Xi'an Jiaotong University,1995,29(6):101-107.
Authors:Song Degong  Peng Jigen  Yang Genke
Institution:Song Degong;Peng Jigen;Yang Genke(Xi'an Jiaotong University)(Taiyuan Heavy Machinery Institute)
Abstract:This paper is devoted to investigate particle transport system in a finite convex bodywith the particle energy bouned away from the origin. By virtue of the theory of integratedsemigroups,the existence-uniqueness problem is solved in the space of continuous functions,and the asymptotic expansion of the time dependent solution is obtained under the maximum norm.
Keywords:transport equation space of continuous functions asymptotic expansion
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