The Cauchy problem for heat equations with exponential nonlinearity
The Cauchy problem for heat equations with exponential nonlinearity
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DOI：
10.1016/j.jde.2011.02.015
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发表时间：
2011-08
影响因子：
2.4
通讯作者：
Norisuke Ioku
中科院分区：
文献类型：
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作者：
Norisuke Ioku
在Orlicz空间expL ~ 2（Rn）中研究了半线性热方程的Cauchy问题，其中任何幂次相互作用都是次临界非线性的.在小的条件下，证明了具有指数非线性项的半线性热方程的整体解的存在性。
The Cauchy problem for the semilinear heat equations is studied in the Orlicz space expL2(Rn), where any power behavior of interaction works as a subcritical nonlinearity. We prove the existence of global solutions for the semilinear heat equations with the exponential nonlinearity under the smallness condition on the initial data in expL2(Rn).