4 citations · 4 across the 5 of their papers we have counts for
7 papers
Existence of Strong Solution for the Complexified Non-linear Poisson Boltzmann Equation
Brian Choi, Jie Xu, Trevor Norton +2
We prove the existence and uniqueness of the complexified Nonlinear Poisson-Boltzmann Equation (nPBE) in a bounded domain in . The nPBE is a model equation in nonline…
Newton's Method for M-Tensor Equations
Dong-Hui Li Jie-Feng Xu, Hong-Bo Guan
We are concerned with the tensor equations whose coefficient tensor is an M-tensor. We first propose a Newton method for solving the equation with a positive constant term and esta…
Solving Yamabe Problem by An Iterative Method
Jie Xu
We introduce an iterative scheme to prove the Yamabe problem , firstly on open domain with Dirichlet boundary conditions, and then on clos…
Inexact Newton Method for M-Tensor Equations
Dong-Hui Li, Hong-Bo Guan, Jie-Feng Xu
We first investigate properties of M-tensor equations. In particular, we show that if the constant term of the equation is nonnegative, then finding a nonnegative solution of the e…
Wave Approximation of Backward Heat Equation with Ricci Flow
Jie Xu
In this paper, we consider solutions of the backward heat equation with Ricci flow on manifolds as a type of infinite dimensional limit of solutions of a wave equation on a larger…
Central Limit Theorems on Compact Metric Spaces
Steven Rosenberg, Jie Xu
We produce a series of Central Limit Theorems (CLTs) associated to compact metric measure spaces , with a reasonable probability measure. For the first CLT, we can ign…