Name: Jun Zhang, Assistant Professor
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
Ph.D. Mathematics,Universityof Science and Technology of China, 2009.
Dissertation: Pseudo almost automorphic function and its application to evolution equations.
B.A. Mathematics, Universityof Science and Technology of China, 2004.
RESEARCH INTERESTS AND CURRENT RESEARCH WORKS:
Semigroup and Evolution Equation, Operator algebra.
We have done some research on pseudo almost automorphic functions. We generalized the class of automorphic functions to pseudo almost automorphic functions by adding zero mean value perturbations. We studied some properties of this class of these functions, such as uniqueness of their decompositions, completeness etc. Furthermore, we applied these properties to some classes of evolution equations to establish the existence and uniqueness of pseudo almost automorphic solutions.
Currently, we are doing some research about the geodesics preserving transformations on Riemannian manifolds of positive definite matrices.