25 citations · 35 across the 20 of their papers we have counts for
20 papers
Learning Image Derived PDE-Phenotypes from fMRI Data
Ion Bica, Ryan Trang, Rui Hu +3
Partial Differential Equations (PDEs) model various physical phenomena, such as electromagnetic fields and fluid mechanics. Methods like Sparse Identification of Nonlinear Dynamics…
Wiener type regularity for non-linear integro-differential equations
Shaoguang Shi, Guanglan Wang, Zhichun Zhai
The primary purpose of this paper is to study the Wiener-type regularity criteria for non-linear equations driven by integro-differential operators, whose model is the fractional $…
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces
Pengtao Li, Rui Hu, Zhichun Zhai
The purpose of this article is twofold. The first is to strengthen fractional Sobolev type inequalities in Besov spaces via the classical Lorentz space. In doing so, we show that t…
Fractional Besov Trace/Extension Type Inequalities via the Caffarelli-Silvestre extension
Pengtao Li, Rui Hu, Zhichun Zhai
Let be the Caffarelli-Silvestre extension of The first goal of this article is to establish the fractional trace type inequalities involving the Caffarelli-Si…
Problems related to Waring-Goldbach problem involving cubes of primes
Zhichun Zhai
In this note, we try to understand the recent development on the Waring-Goldbach problem involving cubes of primes. Especially, we want to determine whether integers that are eithe…
Robust Optimal Designs when Missing Data Happen at Random
Rui Hu, Ion Bica, Zhichun Zhai
In this article, we investigate the robust optimal design problem for the prediction of response when the fitted regression models are only approximately specified, and observation…