Special Session 87: 

Existence and non-existence of global solutions for higher-order semilinear evolution inequalities with fractional Laplacian

Zixia Yuan
University of Electronic Science and Technology of China
Peoples Rep of China
Co-Author(s):    Zimin Tang
Abstract:
This article deals with the existence and non-existence of global solutions to the higher-order semilinear evolution inequalities with fractional Laplacian. The non-existence results are established by using the test function method. Based on the equivalent integral equation and the properties of kernel function, we study the existence results to the corresponding parabolic equation.