Analysis of the heat kernel of the Dirichlet-to-Neumann operator

被引：22
|
作者：
ter Elst, A. F. M. [1 ]
Ouhabaz, E. M. [2 ]
机构：
[1] Univ Auckland, Dept Math, Auckland 1142, New Zealand
[2] Univ Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 267卷 / 11期
关键词：
Dirichlet-to-Neumann operator; Poisson bounds; PSEUDODIFFERENTIAL-OPERATORS; BOUNDS;
D O I：
10.1016/j.jfa.2014.09.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Poisson upper bounds for the kernel (K-t)(t>0) of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a C-infinity-boundary. We also prove Poisson bounds for K-z for all z in the right half-plane and for all its derivatives. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：4066 / 4109
页数：44
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