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一类具有奇异系数的半线性热方程初值问题解的Blow-up问题

Blow-up Problem of Initial Problem of Semilinear Heat Equation with Sigular Coefficient
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摘要 利用算子半群理论研究了一类具有奇异系数的半线性热方程初值问题的非负整体解,证明了该初值问题在三种情况下均没有非负整体解,即解在某个有限时间发生blow-up. By means of the theory of operator, the nonnegative global solution of the intial value problem of semi-linear heat eqution with singular coffivients is studied, and it is proved that no-existence of the nonnegative global solution for three cases,namely,the blow-up problem of solutions will occur in the finite time.
作者 杨凤藻 蹇素雯
机构地区 昆明理工大学理学院 云南师范大学数学系
出处 《昆明理工大学学报（理工版）》 CAS 2005年第2期97-102,共6页 Journal of Kunming University of Science and Technology(Natural Science Edition)
关键词 奇异半线性热方程 算子半群 整体解 semi-linear heat equation semigroup of operator global solution
分类号 O175.29 [理学—基础数学]
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参考文献11

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昆明理工大学学报（理工版）
2005年 第2期

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