Liu, Suying Zhang, Chao
Published in
Acta Mathematica Scientia

In this article, we derive the Lp-boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schrödinger type operator (−Δ)2 + V2 in ℝn(n ≥ 5) with V being a nonnegative potential satisfying the reverse Hölder inequality. Furthermore, we prove the boundedness of the variation operators on associat...

Cui, Yanyan Wang, Chaojun Liu, Hao
Published in
Acta Mathematica Scientia

In this article, we extend the well-known Roper-Suffridge operator on Bn+1 and bounded complete Reinhardt domains in ℂn+1, then we investigate the properties of the generalized operators. Applying the Loewner theory, we obtain the mappings constructed by the generalized operators that have parametric representation on Bn+1. In addition, by using th...

Ma, Linjie Liu, Bin
Published in
Acta Mathematica Scientia

In this article, we investigate a fractional-order singular Leslie-Gower prey-predator bioeconomic model, which describes the interaction between populations of prey and predator, and takes into account the economic interest. We firstly obtain the solvability condition and the stability of the model system, and discuss the singularity induced bifur...

Labuschagne, L. E. Majewski, W. A.
Published in
Acta Mathematica Scientia

Quantum dynamical maps are defined and studied for quantum statistical physics based on Orlicz spaces. This complements earlier work [26] where we made a strong case for the assertion that statistical physics of regular systems should properly be based on the pair of Orlicz spaces 〈Lcosh−1, L log(L + 1)〉, since this framework gives a better descrip...

Su, Tao Zhang, Guobao
Published in
Acta Mathematica Scientia

This article is concerned with the existence of traveling wave solutions for a discrete diffusive ratio-dependent predator-prey model. By applying Schauder’s fixed point theorem with the help of suitable upper and lower solutions, we prove that there exists a positive constant c* such that when c > c*, the discrete diffusive predator-prey system ad...

Jin, Jing Rehman, Noor Jiang, Qin
Published in
Acta Mathematica Scientia

In 2018, Duan [1] studied the case of zero heat conductivity for a one-dimensional compressible micropolar fluid model. Due to the absence of heat conductivity, it is quite difficult to close the energy estimates. He considered the far-field states of the initial data to be constants; that is, limx→±∞(v0,u0,ω0,θ0)(x)=(1,0,0,1)\documentclass[12pt]{m...

Yuan, Yirang Li, Changfeng Song, Huailing
Published in
Acta Mathematica Scientia

The numerical simulation of a three-dimensional semiconductor device is a fundamental problem in information science. The mathematical model is defined by an initial-boundary nonlinear system of four partial differential equations: an elliptic equation for electric potential, two convection-diffusion equations for electron concentration and hole co...

Le, Xuan Truong Nguyen, Thanh Nhan Nguyen, Ngoc Trong
Published in
Acta Mathematica Scientia

In this paper, we provide the boundedness property of the Riesz transforms associated to the Schrödinger operator ℒ=Δ+V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${...

Ma, Rumeng Xu, Jingshi
Published in
Acta Mathematica Scientia

We give characterizations for Bergman-Orlicz spaces with standard weights via a Lipschitz type condition in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As an application, we obtain the boundeness of the symmetric lifting operator from Bergman-Orlicz spaces on the unit disk into Bergman-Orlicz spaces on the bidisk.

Gao, Jin
Published in
Acta Mathematica Scientia

We apply the Davies method to give a quick proof for the upper estimate of the heat kernel for the non-local Dirichlet form on the ultra-metric space. The key observation is that the heat kernel of the truncated Dirichlet form vanishes when two spatial points are separated by any ball of a radius larger than the truncated range. This new phenomenon...