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arXiv · 2209.13884

A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method

Shaozhen Xu
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Abstract

We use broad-narrow method to estabish the sharp $L^4$ decay estimate for a class of degenerate oscillatory integral operators in $(2+1)$ dimensions. Especially, the model phase function is \[xt^2+y^2t,\] a cubic homogeneous polynomial which is degenerate in the sense of [28].

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Shaozhen Xu. 2022-09-28. A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method. https://arxiv.org/abs/2209.13884

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