Heat flow for Dirichlet-to-Neumann operator with critical growth
Heat flow for Dirichlet-to-Neumann operator with critical growth
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DOI：
10.1016/j.aim.2018.01.010
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发表时间：
2018-04
影响因子：
1.7
通讯作者：
Fei Fang;Zhong Tan
中科院分区：
文献类型：
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作者：
Fei Fang;Zhong Tan
本文研究具有临界增长的Dirichlet-to-Neumann算子的热流方程。通过假设初值为低能量，我们得到了解的存在性、爆破和正则性。另一方面，证明了时间为无穷大时解的集中现象。
In this article, we study the heat flow equation for Dirichlet-to-Neumann operator with critical growth. By assuming that the initial value is lower-energy, we obtain the existence, blowup and regularity. On the other hand, a concentration phenomenon of the solution when the time goes to infinity is proved.