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REMARKS ON THE SOLVABILITY OF THE INHOMOGENEOUS ABSTRACT CAUCHY PROBLEM FOR LINEAR AND SEMILINEAR EVOLUTION EQUATIONS

 

作者: J. Banasiak,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1999）
卷期: Volume 22, issue 1  

页码: 83-92

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632060

 

出版商: Taylor & Francis Group

 

关键词: 34G10;47D

 

数据来源: Taylor

 

摘要:

In this paper we establish some new criteria when a mild solution of an inhomogeneous Cauchy problem for an abstract parabolic equation is either classical or strong solution. The results for linear equations are then applied to give new criteria of classical solvability of semilinear problems.

 

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