Arbitrary energy global existence for wave equation with combined power-type nonlinearities of different signs

Boundary value problems

Mingyou Zhang¹  Xingchang Wang¹  Runzhang Xu²  Huichao Xu² 

[1] College of Automation, Harbin Engineering University, Harbin, P.R. China;College of Science, Harbin Engineering University, Harbin, P.R. China

关键词: initial boundary value;    wave equation;    global existence;    sup-critical energy;   

DOI  :  10.1186/s13661-016-0722-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper proves the global existence of solution for a class of nonlinear wave equations with nonlinear combined power-type nonlinearities of different signs for the initial data at sup-critical energy level.

【 授权许可】

CC BY