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Differentiable dependence upon the data in a one‐phase Stefan problem

 

作者: P. Jochum,   B. Brosowski,  

 

期刊: Mathematical Methods in the Applied Sciences  （WILEY Available online 1980）
卷期: Volume 2, issue 1  

页码: 73-90

 

ISSN:0170-4214

 

年代: 1980

 

DOI:10.1002/mma.1670020108

 

出版商: John Wiley&Sons, Ltd

 

数据来源: WILEY

 

摘要:

AbstractIt is well known that the free boundary of the one‐phase Stefan problem (1.1–5) depends continuously on the boundary data [1]. In this paper we prove that, in addition, the solution operator S which, to eachg. assigns the corresponding free boundary, is continuously Frechet differentiable and we give the defining formulas of the Frechet derivat

 

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