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PRODUCTS OF DIFFERENTIAL EXPRESSIONS WITHOUT SMOOTHNESS ASSUMPTIONS

 

作者: W.N. Everitt,   A. Zettl,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1978）
卷期: Volume 3, issue 1  

页码: 67-82

 

ISSN:1607-3606

 

年代: 1978

 

DOI:10.1080/16073606.1978.9631560

 

出版商: Taylor & Francis Group

 

关键词: Primary: 34A30;Secondary: 34A25, 47E05;quasi-differential operators;formally self-adjoint expressions;symmetric expressions;products of expressions

 

数据来源: Taylor

 

摘要:

To form products of differential expressions in the classical way it is necessary to place heavy differentiability assumptions on the coefficients. Here we consider symmetric (formally self-adjoint) expressions defined, not in the classical way, but in terms of quasi-derivatives. With this very general notion of symmetry we show that products such as M1M2MI of symmetric expressions M1, Hp can be formed vithout any smoothness assumptions on the coefficients and such products are symmetric expressions.

 

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