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Interpolation and approximation of solutions to a class of linear partial differential equations in several real variables*

 

作者: Peter A. Mccoy,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1994）
卷期: Volume 26, issue 3  

页码: 213-223

 

ISSN:0278-1077

 

年代: 1994

 

DOI:10.1080/17476939408814781

 

出版商: Gordon and Breach Science Publishers

 

关键词: AMS No. 35C10;35J05;30E05;30E10

 

数据来源: Taylor

 

摘要:

Consider the equationwhose coefficients are entire functions of the variable r = |X| Corresponding to a specified axially symmetric solution Ψ and setCnofn= 1 circles, an axially symmetric solutionis found that interpolates to Ψ(x,p)on theCnand converges uniformly to Ψ(x,p)on certain axiaiiy symmetric domains. An extension is given for a class of solutions with the symmetry requirement relaxed.

 

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