Some Aspects of Large Time Behavior of the Heat Kernel: An Overview with Perspectives

Some Aspects of Large Time Behavior of the Heat Kernel: An Overview with Perspectives
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Heat 内核长时间行为的某些方面:概述与观点

DOI:
10.1007/978-3-0348-0591-9_6
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发表时间:
2012
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
Y. Pinchover
Y. Pinchover
中科院分区:
--
文献类型:
--
作者:
Y. Pinchover

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我们讨论了定义在区域上或更一般的非紧黎曼流形上的与时间无关(不一定对称)的二阶抛物型算子的正极小热核的大时间性态研究的各种进展。我们的注意力主要集中在一般情况下的一般结果上。
We discuss a variety of developments in the study of large time behavior of the positive minimal heat kernel of a time-independent (not necessarily symmetric) second-order parabolic operator defined on a domain, or more generally, on a noncompact Riemannian manifold. Our attention is mainly focused on general results in general settings.