Existence and regularity of solution to the generalized Tricomi equation with a singular initial datum at a point

被引：2

作者：

Zhang, Kang Qun ^{[1
,2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Nanjing Univ, IMS, Nanjing 210093, Jiangsu, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Generalized Tricomi equation; confluent hypergeometric function; existence; conormal regularity; cusp singularity; DISPERSIVE WAVE-EQUATIONS; WEAK SOLUTIONS; EVOLUTION;

D O I：

10.1007/s10114-011-0487-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and regularity of a solution to the initial datum problem of a semilinear generalized Tricomi equation in mixed-type domain. We suppose that an initial datum on the degenerate plane is smooth away from the origin, and has a conormal singularity at this point, then we show that in some mixed-type domain, the solution exists and is conormal with respect to the characteristic conic surface which is issued from the origin and has a cusp singularity.

引用

页码：1135 / 1154

页数：20

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