On the Cauchy problem of degenerate hyperbolic equations

被引：13

作者：

Han, Q ^{[1
]}

Hong, JX

Lin, CS

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] Max Planck Inst Math, D-04103 Leipzig, Germany

[3] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

[4] Natl Chung Cheng Univ, Dept Math, Chiayi, Taiwan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 358卷 / 09期

关键词：

degenerate hyperbolic equations; Cauchy problems;

D O I：

10.1090/S0002-9947-05-03791-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a class of degenerate hyperbolic equations and prove the existence of smooth solutions for Cauchy problems. The existence result is based on a priori estimates of Sobolev norms of solutions. Such estimates illustrate a loss of derivatives because of the degeneracy.

引用

页码：4021 / 4044

页数：24

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