A nonexistence result for a nonlinear wave equation with damping on a Riemannian manifold

被引：3

作者：

Ru, Qiang ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

nonexistence; wave equation; CRITICAL EXPONENT; THEOREMS;

D O I：

10.1186/s13661-016-0705-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the global nonexistence of solutions to a nonlinear wave equation with critical potential V(x) on a Riemannian manifold, the form of which is more general than those in (Todorova and Yordanov in C.R. Acad. Sci., Ser. 1 Math. 300: 557-562, 2000). The way we follow is motivated by the work of Qi S. Zhang (C.R. Acad. Sci., Ser. 1 Math. 333: 109-114, 2001). We also prove the local existence and uniqueness result.

引用

页数：10

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