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

页码：4066 / 4109

页数：44

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