L-p-L-2 estimates for solutions of the wave equation associated to the Grushin operator

被引：1

作者：

Thangavelu, Sundaram ^{[1
]}

Dogga, Venku Naidu ^{[2
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

[2] Indian Inst Technol Hyderabad, Dept Math, Sangareddy 502285, Telangana, India

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2018年 / 9卷 / 02期

关键词：

Grushin operator; Hermite operator; wave equation; Riesz transforms;

D O I：

10.1515/apam-2017-0042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with L-p-L-2 estimates for solutions of the wave equation associated to the Grushin operator G := -Delta - vertical bar x vertical bar(2) partial derivative(2)/partial derivative t(2) on Rn+1. We make use of the L-p boundedness of Riesz transforms for the Grushin operator in studying the wave equation.

引用

页码：85 / 92

页数：8

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