Special Session 69: 

Finite Time Blowup for Kirchhoff-type Equation Involving the Fractional Laplacian at High Energy Level

Meina Zhang
Harbin Engineering University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we study the finite time blow up of the solution for degenerate Kirchhoff type hyperbolic equation involving the fractional Laplacian. By introducing a new auxiliary function and an adapted concavity method we establish some sufficient conditions on initial data such that the solution blow up in finite time with high initial energy level. This paper is funded by the International Exchange Program of Harbin Engineering University for Innovation-oriented Talents Cultivation.