Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Zhichun Zhai"'
Autor:
Pengtao Li, Zhichun Zhai
Publikováno v:
Canadian Journal of Mathematics. :1-53
We apply capacities to explore the space–time fractional dissipative equation: (0.1) $$ \begin{align} \left\{\begin{aligned} &\partial^{\beta}_{t}u(t,x)=-\nu(-\Delta)^{\alpha/2}u(t,x)+f(t,x),\quad (t,x)\in\mathbb R^{1+n}_{+},\\ &u(0,x)=\varphi(x),\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::537f806d562d79e2076580cf5af114c1
https://doi.org/10.4153/s0008414x22000566
https://doi.org/10.4153/s0008414x22000566
Autor:
Pengtao Li, Zhichun Zhai
Publikováno v:
Advances in Nonlinear Analysis. 11:850-887
This paper provides the Carleson characterization of the extension of fractional Sobolev spaces and Lebesgue spaces to L q ( ℝ + n + 1 , μ ) L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) via space-time fractional equations. For the extension of fractional So
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fe2aabdb2ceb71dfc3dace9e8b53ef6
https://doi.org/10.1515/anona-2021-0232
https://doi.org/10.1515/anona-2021-0232
Publikováno v:
Advances in Calculus of Variations.
In this paper, when studying the connection between the fractional convexity and the fractional p-Laplace operator, we deduce a nonlocal and nonlinear equation. Firstly, we will prove the existence and uniqueness of the viscosity solution of this equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::232af33c516c7c31ace3badd9793d758
https://doi.org/10.1515/acv-2021-0110
https://doi.org/10.1515/acv-2021-0110
Publikováno v:
The Journal of Geometric Analysis. 32
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7751ad37a99ad1655dabc46a5e7a892
https://doi.org/10.1007/s12220-022-00975-3
https://doi.org/10.1007/s12220-022-00975-3
Autor:
Meifeng Xu, Zhichun Zhai
Publikováno v:
Journal of Materials Science: Materials in Electronics. 31:5789-5793
Copper phthalocyanine (CuPc) and zinc phthalocyanine (ZnPc) were both widely used in small-molecule solar cells which were considered as promising materials for photovoltaic technology. However, all-solution-processed CuPc (ZnPc)-based devices are no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6463ea4df2dbcd1619f560cbb83d88ba
https://doi.org/10.1007/s10854-020-03149-5
https://doi.org/10.1007/s10854-020-03149-5
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 the Sobolev inequality in Besov spaces is equivalent to the fractional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0b2af496cb23c96390541658c106244
http://arxiv.org/abs/2201.00753
http://arxiv.org/abs/2201.00753
Publikováno v:
Annals of the University of Craiova. Mathematics & Computer Science Series; Dec2022, Vol. 49 Issue 2, p291-308, 18p
Let $P_{\alpha} f(x,t)$ be the Caffarelli-Silvestre extension of a smooth function $f(x): \mathbb{R}^n \rightarrow \mathbb{R}^{n+1}_+:=\mathbb{R}^n\times (0,\infty).$ The purpose of this article is twofold. Firstly, we want to characterize a nonnegat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e53cd77ab96d19fb8d1c6060ecb3f709
http://arxiv.org/abs/2007.00713
http://arxiv.org/abs/2007.00713
Topological Data Analysis of Clostridioides difficile Infection and Fecal Microbiota Transplantation
Publikováno v:
Emerging Topics in Statistics and Biostatistics ISBN: 9783030421953
Computational topologists recently developed a method, called persistent homology to analyze data presented in terms of similarity or dissimilarity. Indeed, persistent homology studies the evolution of topological features in terms of a single index,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34e28471842882742caad7d0d25565dd
https://doi.org/10.1007/978-3-030-42196-0_18
https://doi.org/10.1007/978-3-030-42196-0_18
Publikováno v:
Canadian Journal of Statistics. 46:104-122
We address problems of model misspecification in active learning. We suppose that an investigator will sample training input points (predictors) from a subpopulation with a chosen distribution, possibly different from that generating the underlying w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d44e96d766b7fb4e441ead08b3f7f961
https://doi.org/10.1002/cjs.11327
https://doi.org/10.1002/cjs.11327