Pointwise Estimates for a Class of Oscillatory Integralsand Related Lp–Lq Estimates |
| |
Authors: | Shangbin Cui |
| |
Affiliation: | (1) Institute of Mathematics, Sun Yat-Sen University, Guangzhou, Guangdong 510275, People’s Republic of China |
| |
Abstract: | In this article we establish pointwise estimates for a class of oscillatory integralsrelated to the fundamental solution of the dispersive equation ∂t u − iP (Dx)u = 0, where P(Dx)is a differential operator whose symbol P(ξ) is a real polynomial in one variable. Then we usesuch pointwise estimates to establish Lp–Lq estimates for the solution of this equation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|