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.
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页数：10
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