Modified quasi-reversibility method for final value problems in Banach spaces

被引：11

作者：

Huang, Yongzhong ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 340卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ill-posed problem; quasi-reversibility; functional calculus; analytic semigroup;

D O I：

10.1016/j.jmaa.2007.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the final value problem associated with a linear operator A in a Banach space, where -A is the generator of a uniformly bounded analytic semigroup. Based on the deLaubenfels' functional calculus, we use new quasi-reversibility method, introduced by Boussetila and Rebbani recently, to form an approximate problem. We obtain some results in a Banach space similar to those in a Hilbert space. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：757 / 769

页数：13

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