arXiv subjects

Gejun Bao

Publications and source records attributed to Gejun Bao.

2 recordsLinked to original sources

arXiv2016

The kernel of the generalized Clifford-Fourier transform and its generating function

In this paper, we study the generalized Clifford-Fourier transform introduced in [6] using the Laplace transform technique. We give explicit expressions in the even dimensional case, we obtain polynomial bounds for the kernel functions and establish a generating function.

math.CA↗

arXiv2014

A priori estimates for the obstacle problem of Hessian type equations on Riemannian manifolds

We are concerned with a priori estimates for the obstacle problem of a wide class of fully nonlinear equations on Riemannian manifolds. We use new techniques introduced by Bo Guan and derive new results for a priori second order estimates of its singular perturbation problem under fairly general conditions. By approximation, the existence of a C^{1,1} viscosity solution is proved.

math.AP↗