The applications of C-semigroups to the Dirac equation

被引：2

作者：

Qiang, Jingren ^{[1
]}

Li, Miao ^{[1
]}

Zheng, Quan ^{[2
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 03期

关键词：

Fourier multiplier; Dirac operator; C-semigroup; Integrated semigroup; Generator;

D O I：

10.1016/j.aml.2008.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study first-order symmetric, hyperbolic systems of differential operator with constant coefficients on L(P)-spaces. We show that such systems can be governed by some C-semigroups and as an application we consider the Dirac equation. Our result improves that of Nicaise [S. Nicaise, The Hille-Yosida and Trotter-Kato theorems for integrated semigroups, J. Math. Anal. Appl. 180 (1993) 303-316]. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：422 / 427

页数：6

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