STRICHARTZ AND SMOOTHING ESTIMATES FOR DISPERSIVE SEMI-GROUP e^(-itP(D)) IN WEIGHTED L^(2) SPACES AND THEIR APPLICATIONS  

作　　者：Jiecheng CHEN Shaolei RU Chenjing WU 陈杰诚;汝少雷;吴晨静

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Acta Mathematica Scientia》2025年第2期401-415,共15页数学物理学报(B辑英文版)

基　　金：supported by the NSFC(12071437);the National Key R&D Program of China(2022YFA1005700).

摘　　要：Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1].Moreover,the application of these results to the well-posedness of some equations are shown in the last section.

关 键 词：Strichartz estimates smoothing estimates Morrey-Campanato class weighted L^(2)spaces WELL-POSEDNESS 

分 类 号：O175.2[理学—数学]