Special Session 36: 

The initial-boundary value problems for a class of sixth order nonlinear wave equation

Runzhang Xu
Harbin Engineering University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk we consider the initial boundary value problem of solutions for a class of sixth order 1-D nonlinear wave equations. We discuss the probabilities of the existence and nonexistence of global solutions and give some sufficient conditions for the global and non-global existence of solutions at three different initial energy levels, i.e., sub-critical level, critical level and sup-critical level.