Title :
The existence and nonexistence of global solutions for a nonlinear hyperbolic equation
Author :
Wang, Yanping ; Zhu, Junhui
Author_Institution :
Dept. of Math. & Phys., Zhengzhou Inst. of Aeronaut. Ind. Manage., Zhengzhou, China
Abstract :
This paper gives the sufficient conditions of the blow-up of the solution for a class of nonlinear hyperbolic equation with initial boundary conditions in finite time and proves the existence and uniqueness of the local solution of the problem.
Keywords :
boundary-value problems; hyperbolic equations; nonlinear equations; finite time condition; initial boundary condition; nonlinear hyperbolic equation; Boundary value problems; Equations; Industries; Lattices; Mathematical model; Physics; initial boundary value problem; local solution; nonexistence of solution; nonlinear hyperbolic equation;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002406
