Global existence of solutions for 1-D nonlinear wave equation of sixth order at high initial energy level
1 College of Automation, Harbin Engineering University, Harbin, 150001, People’s Republic of China
2 College of Science, Harbin Engineering University, Harbin, 150001, People’s Republic of China
Boundary Value Problems 2014, 2014:31 doi:10.1186/1687-2770-2014-31Published: 4 February 2014
This paper considers the Cauchy problem of solutions for a class of sixth order 1-D nonlinear wave equations at high initial energy level. By introducing a new stable set we derive the result that certain solutions with arbitrarily positive initial energy exist globally.