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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