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有附件On the blowing up of solutions of the Cauchy problem for $u_{t}=Delta u+u^{1+alpha }$

1 yhhuang 添加于 2010-2-2 02:15 | 1820 次阅读 | 0 个评论
  •  作 者

    Fujita H
  •  摘 要

    The Cauchy problem for the parabolic equation $u_t=Delta u+u^{1+alpha} (alpha>0)$ is considered. It is well known that, the given equation being nonlinear, the solution need not exist for all time $t$. The influence of the dimension $m$ of the space variable $x$ on the existence or nonexistence of the solution for all time $t$ is investigated. Particularly interesting is the result according to which, for $0
  •  详细资料

    • 文献种类:期刊
    • 期刊名称: J. Fac. Sci. Univ. Tokyo Sect. I
    • 期卷页: 1966  13 109-124
    • 日期: 1966
    • ISBN: 0040-8980
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