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Optional regularity of fourier integral operators with one-sided folds

 

作者: Andrew Comech,  

 

期刊: Communications in Partial Differential Equations  (Taylor Available online 1999)
卷期: Volume 24, issue 7-8  

页码: 1263-1281

 

ISSN:0360-5302

 

年代: 1999

 

DOI:10.1080/03605309908821465

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

We obtail optional continuity in Sobolev for the Fourior integral operators associated to singular canonical relations, when one of the two projection is a Whitney fold. The regularity depends on the type, K, of the projuction from the canonical relation (k=1 for whitney fold). We prove that one losesof a derivative in the regularity properties. The proof is based on the L2estimates for oscillatory inntegral operators

 

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