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pro vyhledávání: '"Chen, Wenxiong"'
Autor:
Chen, Wenxiong, Guo, Yahong
In this paper, we consider the following indefinite fully fractional heat equation involving the master operator \begin{equation*} (\partial_t -\Delta)^{s} u(x,t) = x_1u^p(x,t)\ \ \mbox{in}\ \R^n\times\R , \end{equation*} where $s\in(0,1)$, and $-\in
Externí odkaz:
http://arxiv.org/abs/2405.02091
In this paper, we study the fully fractional master equation \begin{equation}\label{pdeq1} (\partial_t-\Delta)^s u(x,t) =f(x,t,u(x,t)),\,\,(x, t)\in \mathbb{R}^n\times \mathbb{R}. \end{equation} First we prove a Liouville type theorem for the homogen
Externí odkaz:
http://arxiv.org/abs/2307.16029
Autor:
Chen, Wenxiong, Ma, Lingwei
In this paper, we establish a generalized version of Gibbons' conjecture in the context of the master equation \begin{equation*} (\partial_t-\Delta)^s u(x,t)=f(t,u(x,t)) \,\, \mbox{in}\,\, \mathbb{R}^n\times\mathbb{R}. \end{equation*} We show that, f
Externí odkaz:
http://arxiv.org/abs/2304.07888
Autor:
Chen, Wenxiong, Ma, Lingwei
In this paper, we consider the dual fractional parabolic problem in the right half space. We prove that the positive solutions are strictly increasing in $x_1$ direction without assuming the solutions be bounded. So far as we know, this is the first
Externí odkaz:
http://arxiv.org/abs/2303.10304
Autor:
Chen, Wenxiong1 (AUTHOR) chenwenxiong@amss.ac.cn, Liu, Shibo2 (AUTHOR), Urbina, Wilfredo (AUTHOR) wurbinaromero@roosevelt.edu
Publikováno v:
Journal of Function Spaces. 9/30/2024, Vol. 2024, p1-6. 6p.
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 2, Pp 359-398 (2024)
In this paper, we summarize some of the recent developments in the area of fractional elliptic and parabolic equations with focus on how to apply the sliding method and the method of moving planes to obtain qualitative properties of solutions. We wil
Externí odkaz:
https://doaj.org/article/41b8af497d6b4ad4b0a8ca51fdf86e70
Autor:
Chen, Wenxiong, Guo, Yahong
Publikováno v:
In Advances in Mathematics October 2024 455
Autor:
Li, Guoyang, Long, Wei, Yu, Xinning, Wu, Guilin, Chen, Wenxiong, Jiang, Qi, Zhang, Chaolei, Wu, Honghui, Gao, Junheng, Zhao, Haitao, Wang, Shuize, Mao, Xinping
Publikováno v:
In Journal of Materials Research and Technology November-December 2024 33:1667-1680
We study fractional parabolic equations with indefinite nonlinearities $$ \frac{\partial u} {\partial t}(x,t) +(-\Delta)^s u(x,t)= x_1 u^p(x, t),\,\, (x, t) \in \mathbb{R}^n \times \mathbb{R}, $$ where $0
Externí odkaz:
http://arxiv.org/abs/2108.02345
Autor:
Chen, Wenxiong, Wu, Leyun
In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles
Externí odkaz:
http://arxiv.org/abs/2108.02075