Heat Kernel Estimates for Schrödinger Operators on Exterior Domains with Robin Boundary Conditions
Heat Kernel Estimates for Schrödinger Operators on Exterior Domains with Robin Boundary Conditions
复制标题
具有 Robin 边界条件的外部域上薛定谔算子的热核估计
DOI：
10.1007/s11118-017-9629-7
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发表时间：
2018
影响因子：
1.1
通讯作者：
Delio Mugnolo
中科院分区：
文献类型：
--
作者：
H. Kovařík;Delio Mugnolo
本文研究了Schr dinger算子在Escherd中的外区域上的Robin边界条件。我们证明尖锐的点明智的估计相关联的半群，特别是，边界条件如何影响的时间衰减的热核在一维和二维。谱估计的应用进行了讨论。
We study Schrödinger operators with Robin boundary conditions on exterior domains in ℝd. We prove sharp point-wise estimates for the associated semigroups which show, in particular, how the boundary conditions affect the time decay of the heat kernel in dimensions one and two. Applications to spectral estimates are discussed as well.