Zobrazeno 1 - 10
of 897
pro vyhledávání: '"Zhai Jian"'
Autor:
Uhlmann, Gunther, Zhai, Jian
We prove that the Riemannian metric on a compact manifold of dimension $n\geq 3$ with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Dirichlet-to-Neumann map associated to the Laplace-Beltrami operator.
Externí odkaz:
http://arxiv.org/abs/2409.01583
Autor:
Uhlmann, Gunther, Zhai, Jian
Consider a compact Riemannian manifold in dimension $n$ with strictly convex boundary. We show the local invertibility near a boundary point of the transverse ray transform of $2$ tensors for $n\geq 3$ and the mixed ray transform of $2+2$ tensors for
Externí odkaz:
http://arxiv.org/abs/2402.12640
Autor:
Uhlmann, Gunther, Zhai, Jian
This is a continuation of our study [Uhlmann-Zhai, JMPA, 2021] on an inverse boundary value problem for a nonlinear elastic wave equation. We prove that all the linear and nonlinear coefficients can be recovered from the displacement-to-traction map,
Externí odkaz:
http://arxiv.org/abs/2308.12475
Autor:
Zhai, Jian, Zhao, Yue
This paper is mainly concerned with the inverse scattering problem of determining the unknown potential for the classical Schr\"odinger equation in two and three dimensions. We establish the increasing stability of the inverse scattering problem from
Externí odkaz:
http://arxiv.org/abs/2306.10211
Autor:
Lu, Shuai, Zhai, Jian
We consider the problem of recovering a nonlinear potential function in a nonlinear Schr\"odinger equation on transversally anisotropic manifolds from the linearized Dirichlet-to-Neumann map at a large wavenumber. By calibrating the complex geometric
Externí odkaz:
http://arxiv.org/abs/2301.07875
Publikováno v:
In International Journal of Biological Macromolecules January 2025 284 Part 2
Autor:
Sun, Qingbo a, Zhai, Jian a, ⁎, Peng, Zekong a, Li, Jinwen a, Xie, Hongfei a, Liang, Hao a, Xu, Wendi a, Zhang, Jinqiang b
Publikováno v:
In Chemical Engineering Science 15 February 2025 305
In this paper, we analyze the nonlinear single pixel X-ray transform $K$ and study the reconstruction of $f$ from the measurement $Kf$. Different from the well-known X-ray transform, the transform $K$ is a nonlinear operator and uses a single detecto
Externí odkaz:
http://arxiv.org/abs/2112.13978
Publikováno v:
In Heliyon 15 June 2024 10(11)
We study the Witten-type topological field theory(W-TFT) of self-organized criticality(SOC) for stochastic neural networks. The Parisi-Sourlas-Wu quantization of general stochastic differential equations (SDEs) for neural networks, the Becchi-Rouet-S
Externí odkaz:
http://arxiv.org/abs/2106.10851