Zobrazeno 1 - 10
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pro vyhledávání: '"PAN Yifei"'
Autor:
Pan, Yifei, Zhang, Yuan
In this paper, we extend our earlier unique continuation results \cite{PZ2} for the Schr\"odinger-type inequality $ |\bar\partial u| \le V|u|$ on a domain in $\mathbb C^n$ by removing the smoothness assumption on solutions $u = (u_1, \ldots, u_N)$. M
Externí odkaz:
http://arxiv.org/abs/2406.10749
Autor:
Pan, Yifei, Zhang, Yuan
Near every point of a real-analytic set in $\mathbb R^n$, we make use of Hironaka's resolution of singularity theorem to construct a family of continuous functions in $W^{1, 1}_{loc}$ such that their weak derivatives have (removable) singularity prec
Externí odkaz:
http://arxiv.org/abs/2406.04544
Autor:
Pan, Yifei, Zhang, Yuan
The purpose of this paper is to study the unique continuation property for a Schr\"odinger-type equation $ \bar\partial u = Vu$ on a domain in $\mathbb C^n$, where the solution $u$ may be a scalar function, or a vector-valued function. While simple e
Externí odkaz:
http://arxiv.org/abs/2404.01947
We establish a unique continuation property for solutions of the differential inequality $|\nabla u|\leq V|u|$, where $V$ is locally $L^n$ integrable on a domain in $\mathbb R^n$. A stronger uniqueness result is obtained if in addition the solutions
Externí odkaz:
http://arxiv.org/abs/2402.15503
Publikováno v:
Renmin Zhujiang, Vol 41 (2020)
Under the disturbance of global warming and intensive human activities,runoff and sediment in the river basin have changed significantly,thus causing enormous ecological and environmental pressure in rivers,estuaries and coastal waters.Taking East Ri
Externí odkaz:
https://doaj.org/article/0d3bfc5543e5486b96e7a05922a3ba91
Autor:
Pan, Yifei, Yan, Yu
We prove a general result on the existence of local solutions of any second order quasi-linear elliptic system with arbitrary 1-jet at a point.
Externí odkaz:
http://arxiv.org/abs/2401.17579
Autor:
Pan, Yifei, Zhang, Yuan
In this note, we investigate the unique continuation property and the sign changing behavior of weak solutions to $-\Delta u =Vu$ near infinity under certain conditions on the blow-up rate of the potential $V$ near infinity.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2401.05242
In this paper the local regularity of the Hilbert transform is considered, and local smoothness and real analyticity results are obtained.
Externí odkaz:
http://arxiv.org/abs/2308.11947
Publikováno v:
Kouqiang yixue, Vol 44, Iss 5, Pp 321-328 (2024)
Objective To investigate associations between three-dimensional(3D) morphology of cervical vertebrae and skeletal maturation by cone-beam computed tomography(CBCT) and establish corresponding regression models for quantitatively evaluating cervical v
Externí odkaz:
https://doaj.org/article/e424764c4a5b44edab597c659079be60
Autor:
Pan, Yifei, Yan, Yu
We construct examples of twice differentiable functions in $\mathbb{R}^n$ with continuous Laplacian and bounded Hessian. The same construction is also applicable to higher order differentiability, the Monge-Amp\`ere equation, and mean curvature equat
Externí odkaz:
http://arxiv.org/abs/2210.10099