New Results on the Cauchy Problem for a Class of Hyperbolic Equations in the Half-space

被引：4

作者：

Barbagallo, Annamaria ^{[1
]}

Esposito, Vincenzo ^{[1
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, I-80126 Naples, Italy

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

Sobolev spaces; hyperbolic equations; pseudodifferential operators; OPERATORS;

D O I：

10.1063/1.4913185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the paper is to consider a Cauchy problem related to the class of hyperbolic operators with double characteristics in the half-space Omega = R-2 x] 0,+infinity[. A priori estimates in Sobolev spaces W-r,W-2, with r negative, are shown. Moreover, an existence and uniqueness result is presented.

引用

页数：4

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