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Solution of cauchy–kowalewski problems in a subspace of pseudoholomorphic functions in the sense of l. bers

 

作者: Uğur Yüksel,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1996）
卷期: Volume 31, issue 1  

页码: 1-8

 

ISSN:0278-1077

 

年代: 1996

 

DOI:10.1080/17476939608814940

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30G20;35A10

 

数据来源: Taylor

 

摘要:

We have proved that provided a space of pseudoholomorphic functions is given, one can construct operatorsLsuch that the initial-value problem of Cauchy-Kowalewski typeturns out to be solvable in any case. The solution belongs to the subspace defined by the ordinary differential equation of the formwheredEw/dzdenotes theE-derivative of theE-pseudoholomorphic functionw.

 

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